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Finding the Fourth Proportional to 6,861.62, 10,276.03 and 6,517.17

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Solution

The fourth proportional to 6,861.62, 10,276.03 and 6,517.17 is: 9,760.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.62 : 10,276.03 = 6,517.17 : x
  2. Step 2: Convert to fraction form
    6,861.62/10,276.03 = 6,517.17/x
  3. Step 3: Cross multiply
    6,861.62x = 10,276.03 × 6,517.17
  4. Step 4: Simplify right side
    6,861.62x = 66,970,634.44
  5. Step 5: Solve for x
    x = 66,970,634.44/6,861.62
  6. Step 6: Final answer
    x = 9,760.18

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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.