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Finding the Fourth Proportional to 8,400.92, 12,601.24 and 2,557.28

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Solution

The fourth proportional to 8,400.92, 12,601.24 and 2,557.28 is: 3,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400.92 : 12,601.24 = 2,557.28 : x
  2. Step 2: Convert to fraction form
    8,400.92/12,601.24 = 2,557.28/x
  3. Step 3: Cross multiply
    8,400.92x = 12,601.24 × 2,557.28
  4. Step 4: Simplify right side
    8,400.92x = 32,224,899.03
  5. Step 5: Solve for x
    x = 32,224,899.03/8,400.92
  6. Step 6: Final answer
    x = 3,835.88

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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.