Answer
$z = \frac{30}{11}$
Work Step by Step
We use the method of cross multiplying, which states that if $\frac{a}{b} = \frac{c}{d}$, then $ad = bc$. This result can be achieved by multiplying both sides by $cd$.
$\frac{6}{11} = \frac{z}{5} \rightarrow 30 = 11z \rightarrow z = \frac{30}{11}$
