Learn Turkish: Hepimiz akrobatların cesaretine hayran oluyoruz. - We are all amazed by the acrobats' courage.

The compound verb hayran olmak (to be amazed / to admire) always takes the dative case (-e/-a) for the object you are amazed by. While English says amazed 'by', Turkish grammar directs your amazement 'to' something.

How do the suffixes on cesaretine work together?

It breaks down as cesaret (courage) + -i (possessive suffix linking it to the acrobats' courage) + -n- (a buffer letter always used after 3rd-person possessive suffixes before adding a case ending) + -e (dative case).

Why do we use hepimiz instead of just hep?

Hep means 'all' or 'entirely', but to specify 'all of us', it takes the first-person plural possessive suffix -imiz. If you wanted to say 'all of them are amazed', you would use hepsi instead.

Why is hayran paired with oluyoruz here?

Hayran is a noun/adjective meaning 'amazed' or 'admirer'. Because it isn't a verb itself, it needs the helper verb olmak (to be/become) to function as the action 'to be amazed'. This is a very common way Turkish turns borrowed nouns into verbs.