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Finding the Fourth Proportional to 7,863.80, 11,793.14 and 3,481.16

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Solution

The fourth proportional to 7,863.80, 11,793.14 and 3,481.16 is: 5,220.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.80 : 11,793.14 = 3,481.16 : x
  2. Step 2: Convert to fraction form
    7,863.80/11,793.14 = 3,481.16/x
  3. Step 3: Cross multiply
    7,863.80x = 11,793.14 × 3,481.16
  4. Step 4: Simplify right side
    7,863.80x = 41,053,807.24
  5. Step 5: Solve for x
    x = 41,053,807.24/7,863.80
  6. Step 6: Final answer
    x = 5,220.61

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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.