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Finding the Fourth Proportional to 8,198.20, 12,278.10 and 5,087.80

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Solution

The fourth proportional to 8,198.20, 12,278.10 and 5,087.80 is: 7,619.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,198.20 : 12,278.10 = 5,087.80 : x
  2. Step 2: Convert to fraction form
    8,198.20/12,278.10 = 5,087.80/x
  3. Step 3: Cross multiply
    8,198.20x = 12,278.10 × 5,087.80
  4. Step 4: Simplify right side
    8,198.20x = 62,468,517.18
  5. Step 5: Solve for x
    x = 62,468,517.18/8,198.20
  6. Step 6: Final answer
    x = 7,619.78

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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.