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Finding the Fourth Proportional to 8,432.38, 12,650.42 and 2,589.46

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Solution

The fourth proportional to 8,432.38, 12,650.42 and 2,589.46 is: 3,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.38 : 12,650.42 = 2,589.46 : x
  2. Step 2: Convert to fraction form
    8,432.38/12,650.42 = 2,589.46/x
  3. Step 3: Cross multiply
    8,432.38x = 12,650.42 × 2,589.46
  4. Step 4: Simplify right side
    8,432.38x = 32,757,756.57
  5. Step 5: Solve for x
    x = 32,757,756.57/8,432.38
  6. Step 6: Final answer
    x = 3,884.76

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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.