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Finding the Fourth Proportional to 10,092.12, 15,134.94 and 3,847.43

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Solution

The fourth proportional to 10,092.12, 15,134.94 and 3,847.43 is: 5,769.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,092.12 : 15,134.94 = 3,847.43 : x
  2. Step 2: Convert to fraction form
    10,092.12/15,134.94 = 3,847.43/x
  3. Step 3: Cross multiply
    10,092.12x = 15,134.94 × 3,847.43
  4. Step 4: Simplify right side
    10,092.12x = 58,230,546.53
  5. Step 5: Solve for x
    x = 58,230,546.53/10,092.12
  6. Step 6: Final answer
    x = 5,769.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.