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Finding the Fourth Proportional to 11,310.92, 15,609.20 and 6,275.24

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Solution

The fourth proportional to 11,310.92, 15,609.20 and 6,275.24 is: 8,659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,310.92 : 15,609.20 = 6,275.24 : x
  2. Step 2: Convert to fraction form
    11,310.92/15,609.20 = 6,275.24/x
  3. Step 3: Cross multiply
    11,310.92x = 15,609.20 × 6,275.24
  4. Step 4: Simplify right side
    11,310.92x = 97,951,476.21
  5. Step 5: Solve for x
    x = 97,951,476.21/11,310.92
  6. Step 6: Final answer
    x = 8,659.90

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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.