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Finding the Fourth Proportional to 8,404.92, 12,601.17 and 2,856.78

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Solution

The fourth proportional to 8,404.92, 12,601.17 and 2,856.78 is: 4,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,404.92 : 12,601.17 = 2,856.78 : x
  2. Step 2: Convert to fraction form
    8,404.92/12,601.17 = 2,856.78/x
  3. Step 3: Cross multiply
    8,404.92x = 12,601.17 × 2,856.78
  4. Step 4: Simplify right side
    8,404.92x = 35,998,770.43
  5. Step 5: Solve for x
    x = 35,998,770.43/8,404.92
  6. Step 6: Final answer
    x = 4,283.06

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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.