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Finding the Fourth Proportional to 6,082.50, 8,398.97 and 4,099.62

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Solution

The fourth proportional to 6,082.50, 8,398.97 and 4,099.62 is: 5,660.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.50 : 8,398.97 = 4,099.62 : x
  2. Step 2: Convert to fraction form
    6,082.50/8,398.97 = 4,099.62/x
  3. Step 3: Cross multiply
    6,082.50x = 8,398.97 × 4,099.62
  4. Step 4: Simplify right side
    6,082.50x = 34,432,585.39
  5. Step 5: Solve for x
    x = 34,432,585.39/6,082.50
  6. Step 6: Final answer
    x = 5,660.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.