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Finding the Fourth Proportional to 8,650.38, 12,959.16 and 5,132.96

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Solution

The fourth proportional to 8,650.38, 12,959.16 and 5,132.96 is: 7,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650.38 : 12,959.16 = 5,132.96 : x
  2. Step 2: Convert to fraction form
    8,650.38/12,959.16 = 5,132.96/x
  3. Step 3: Cross multiply
    8,650.38x = 12,959.16 × 5,132.96
  4. Step 4: Simplify right side
    8,650.38x = 66,518,785.12
  5. Step 5: Solve for x
    x = 66,518,785.12/8,650.38
  6. Step 6: Final answer
    x = 7,689.70

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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.