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Finding the Fourth Proportional to 8,454.64, 12,687.48 and 3,775.92

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Solution

The fourth proportional to 8,454.64, 12,687.48 and 3,775.92 is: 5,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.64 : 12,687.48 = 3,775.92 : x
  2. Step 2: Convert to fraction form
    8,454.64/12,687.48 = 3,775.92/x
  3. Step 3: Cross multiply
    8,454.64x = 12,687.48 × 3,775.92
  4. Step 4: Simplify right side
    8,454.64x = 47,906,909.48
  5. Step 5: Solve for x
    x = 47,906,909.48/8,454.64
  6. Step 6: Final answer
    x = 5,666.35

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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.