Answer: [tex]x=5\frac{3}{5}[/tex]
Step-by-step explanation:
The given proportion : [tex]\frac{3}{(x+1)}=\frac{5}{11}\\\\\text{Multiplying both sides by 11 (x+1), we get}[/tex]
[tex]\frac{3}{(x+1)}\times11(x+1)=\frac{5}{11}\times11(x+1)\\\\\Rightarrow\ 33=5(x+1)\\\\\Rightarrow\ 33=5x+5\\\\\text{Subtract 5 on both sides, we get}\\\\\Rightarrow\ 5x=33-5\\\\\Rightarrow\ 5x=28\text{Dividing 5 on both sides, we get}\\\\\Rightarrow x=\frac{28}{5}\\\\\text{In mixed fraction}\\\\ x=5\frac{3}{5}[/tex]
