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Finding the Fourth Proportional to 6,732.17, 10,082.58 and 6,498.62

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Solution

The fourth proportional to 6,732.17, 10,082.58 and 6,498.62 is: 9,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.17 : 10,082.58 = 6,498.62 : x
  2. Step 2: Convert to fraction form
    6,732.17/10,082.58 = 6,498.62/x
  3. Step 3: Cross multiply
    6,732.17x = 10,082.58 × 6,498.62
  4. Step 4: Simplify right side
    6,732.17x = 65,522,856.04
  5. Step 5: Solve for x
    x = 65,522,856.04/6,732.17
  6. Step 6: Final answer
    x = 9,732.80

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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.