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Finding the Fourth Proportional to 11,543.92, 15,930.60 and 6,508.14

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Solution

The fourth proportional to 11,543.92, 15,930.60 and 6,508.14 is: 8,981.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,543.92 : 15,930.60 = 6,508.14 : x
  2. Step 2: Convert to fraction form
    11,543.92/15,930.60 = 6,508.14/x
  3. Step 3: Cross multiply
    11,543.92x = 15,930.60 × 6,508.14
  4. Step 4: Simplify right side
    11,543.92x = 103,678,575.08
  5. Step 5: Solve for x
    x = 103,678,575.08/11,543.92
  6. Step 6: Final answer
    x = 8,981.23

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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.