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Finding the Fourth Proportional to 8,119.90, 12,171.45 and 4,414.30

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Solution

The fourth proportional to 8,119.90, 12,171.45 and 4,414.30 is: 6,616.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.90 : 12,171.45 = 4,414.30 : x
  2. Step 2: Convert to fraction form
    8,119.90/12,171.45 = 4,414.30/x
  3. Step 3: Cross multiply
    8,119.90x = 12,171.45 × 4,414.30
  4. Step 4: Simplify right side
    8,119.90x = 53,728,431.74
  5. Step 5: Solve for x
    x = 53,728,431.74/8,119.90
  6. Step 6: Final answer
    x = 6,616.88

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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.