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Finding the Fourth Proportional to 10,591.92, 14,615.40 and 6,115.02

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Solution

The fourth proportional to 10,591.92, 14,615.40 and 6,115.02 is: 8,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.92 : 14,615.40 = 6,115.02 : x
  2. Step 2: Convert to fraction form
    10,591.92/14,615.40 = 6,115.02/x
  3. Step 3: Cross multiply
    10,591.92x = 14,615.40 × 6,115.02
  4. Step 4: Simplify right side
    10,591.92x = 89,373,463.31
  5. Step 5: Solve for x
    x = 89,373,463.31/10,591.92
  6. Step 6: Final answer
    x = 8,437.89

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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.