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Finding the Fourth Proportional to 8,291.04, 12,438.24 and 2,447.52

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Solution

The fourth proportional to 8,291.04, 12,438.24 and 2,447.52 is: 3,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.04 : 12,438.24 = 2,447.52 : x
  2. Step 2: Convert to fraction form
    8,291.04/12,438.24 = 2,447.52/x
  3. Step 3: Cross multiply
    8,291.04x = 12,438.24 × 2,447.52
  4. Step 4: Simplify right side
    8,291.04x = 30,442,841.16
  5. Step 5: Solve for x
    x = 30,442,841.16/8,291.04
  6. Step 6: Final answer
    x = 3,671.78

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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.