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Finding the Fourth Proportional to 8,432.10, 12,652.47 and 3,755.16

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Solution

The fourth proportional to 8,432.10, 12,652.47 and 3,755.16 is: 5,634.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432.10 : 12,652.47 = 3,755.16 : x
  2. Step 2: Convert to fraction form
    8,432.10/12,652.47 = 3,755.16/x
  3. Step 3: Cross multiply
    8,432.10x = 12,652.47 × 3,755.16
  4. Step 4: Simplify right side
    8,432.10x = 47,512,049.25
  5. Step 5: Solve for x
    x = 47,512,049.25/8,432.10
  6. Step 6: Final answer
    x = 5,634.66

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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.