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Finding the Fourth Proportional to 6,694.14, 10,042.92 and 2,311.62

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Solution

The fourth proportional to 6,694.14, 10,042.92 and 2,311.62 is: 3,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.14 : 10,042.92 = 2,311.62 : x
  2. Step 2: Convert to fraction form
    6,694.14/10,042.92 = 2,311.62/x
  3. Step 3: Cross multiply
    6,694.14x = 10,042.92 × 2,311.62
  4. Step 4: Simplify right side
    6,694.14x = 23,215,414.73
  5. Step 5: Solve for x
    x = 23,215,414.73/6,694.14
  6. Step 6: Final answer
    x = 3,468.02

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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.