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Finding the Fourth Proportional to 10,129.68, 15,194.44 and 5,451.88

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Solution

The fourth proportional to 10,129.68, 15,194.44 and 5,451.88 is: 8,177.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.68 : 15,194.44 = 5,451.88 : x
  2. Step 2: Convert to fraction form
    10,129.68/15,194.44 = 5,451.88/x
  3. Step 3: Cross multiply
    10,129.68x = 15,194.44 × 5,451.88
  4. Step 4: Simplify right side
    10,129.68x = 82,838,263.55
  5. Step 5: Solve for x
    x = 82,838,263.55/10,129.68
  6. Step 6: Final answer
    x = 8,177.78

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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.