Solve for the variable in the following proportion.4 is to 5 as 10 is to a81212.520

The solution for the variable a is 12.5 ⇒ 3rd answerStep-by-step explanation:Proportional relationships are relationships between two variableswhere their ratios are equivalentIf x is proportion to y , then [tex]\frac{x}{y}[/tex] = k, wher k is a constantIf x is proportion to y, then [tex]\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}[/tex]∵ 4 is to 5 as 10 is to a∵ These are proportion∴ [tex]\frac{4}{5}=\frac{10}{a}[/tex]- Use cross multiplication to find a∵ 4 × a = 5 × 10∴ 4 a = 50- Divide both sides by 4∴ [tex]a=\frac{50}{4}[/tex]∴ a = 12.5The solution for the variable a is 12.5Learn more:You can learn more about proportion in brainly.com/question/10708697#LearnwithBrainly