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Finding the Fourth Proportional to 8,082.12, 12,120.17 and 2,815.78

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Solution

The fourth proportional to 8,082.12, 12,120.17 and 2,815.78 is: 4,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.12 : 12,120.17 = 2,815.78 : x
  2. Step 2: Convert to fraction form
    8,082.12/12,120.17 = 2,815.78/x
  3. Step 3: Cross multiply
    8,082.12x = 12,120.17 × 2,815.78
  4. Step 4: Simplify right side
    8,082.12x = 34,127,732.28
  5. Step 5: Solve for x
    x = 34,127,732.28/8,082.12
  6. Step 6: Final answer
    x = 4,222.62

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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.