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Finding the Fourth Proportional to 8,281.91, 12,422.87 and 2,438.52

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Solution

The fourth proportional to 8,281.91, 12,422.87 and 2,438.52 is: 3,657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.91 : 12,422.87 = 2,438.52 : x
  2. Step 2: Convert to fraction form
    8,281.91/12,422.87 = 2,438.52/x
  3. Step 3: Cross multiply
    8,281.91x = 12,422.87 × 2,438.52
  4. Step 4: Simplify right side
    8,281.91x = 30,293,404.76
  5. Step 5: Solve for x
    x = 30,293,404.76/8,281.91
  6. Step 6: Final answer
    x = 3,657.78

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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.