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Finding the Fourth Proportional to 11,608.50, 16,020.02 and 7,129.71

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Solution

The fourth proportional to 11,608.50, 16,020.02 and 7,129.71 is: 9,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,608.50 : 16,020.02 = 7,129.71 : x
  2. Step 2: Convert to fraction form
    11,608.50/16,020.02 = 7,129.71/x
  3. Step 3: Cross multiply
    11,608.50x = 16,020.02 × 7,129.71
  4. Step 4: Simplify right side
    11,608.50x = 114,218,061.15
  5. Step 5: Solve for x
    x = 114,218,061.15/11,608.50
  6. Step 6: Final answer
    x = 9,839.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.