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Finding the Fourth Proportional to 10,713.91, 16,081.25 and 5,171.16

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Solution

The fourth proportional to 10,713.91, 16,081.25 and 5,171.16 is: 7,761.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.91 : 16,081.25 = 5,171.16 : x
  2. Step 2: Convert to fraction form
    10,713.91/16,081.25 = 5,171.16/x
  3. Step 3: Cross multiply
    10,713.91x = 16,081.25 × 5,171.16
  4. Step 4: Simplify right side
    10,713.91x = 83,158,716.75
  5. Step 5: Solve for x
    x = 83,158,716.75/10,713.91
  6. Step 6: Final answer
    x = 7,761.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.