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Finding the Fourth Proportional to 8,132.14, 12,198.20 and 1,976.14

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Solution

The fourth proportional to 8,132.14, 12,198.20 and 1,976.14 is: 2,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.14 : 12,198.20 = 1,976.14 : x
  2. Step 2: Convert to fraction form
    8,132.14/12,198.20 = 1,976.14/x
  3. Step 3: Cross multiply
    8,132.14x = 12,198.20 × 1,976.14
  4. Step 4: Simplify right side
    8,132.14x = 24,105,350.95
  5. Step 5: Solve for x
    x = 24,105,350.95/8,132.14
  6. Step 6: Final answer
    x = 2,964.21

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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.