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Finding the Fourth Proportional to 7,874.60, 10,863.90 and 4,516.20

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Solution

The fourth proportional to 7,874.60, 10,863.90 and 4,516.20 is: 6,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.60 : 10,863.90 = 4,516.20 : x
  2. Step 2: Convert to fraction form
    7,874.60/10,863.90 = 4,516.20/x
  3. Step 3: Cross multiply
    7,874.60x = 10,863.90 × 4,516.20
  4. Step 4: Simplify right side
    7,874.60x = 49,063,545.18
  5. Step 5: Solve for x
    x = 49,063,545.18/7,874.60
  6. Step 6: Final answer
    x = 6,230.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.