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Finding the Fourth Proportional to 11,515.92, 15,892.30 and 6,480.16

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Solution

The fourth proportional to 11,515.92, 15,892.30 and 6,480.16 is: 8,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.92 : 15,892.30 = 6,480.16 : x
  2. Step 2: Convert to fraction form
    11,515.92/15,892.30 = 6,480.16/x
  3. Step 3: Cross multiply
    11,515.92x = 15,892.30 × 6,480.16
  4. Step 4: Simplify right side
    11,515.92x = 102,984,646.77
  5. Step 5: Solve for x
    x = 102,984,646.77/11,515.92
  6. Step 6: Final answer
    x = 8,942.81

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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.