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Finding the Fourth Proportional to 10,902.96, 15,046.44 and 6,187.44

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Solution

The fourth proportional to 10,902.96, 15,046.44 and 6,187.44 is: 8,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.96 : 15,046.44 = 6,187.44 : x
  2. Step 2: Convert to fraction form
    10,902.96/15,046.44 = 6,187.44/x
  3. Step 3: Cross multiply
    10,902.96x = 15,046.44 × 6,187.44
  4. Step 4: Simplify right side
    10,902.96x = 93,098,944.71
  5. Step 5: Solve for x
    x = 93,098,944.71/10,902.96
  6. Step 6: Final answer
    x = 8,538.87

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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.