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Finding the Fourth Proportional to 8,052.72, 12,082.32 and 2,862.24

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Solution

The fourth proportional to 8,052.72, 12,082.32 and 2,862.24 is: 4,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.72 : 12,082.32 = 2,862.24 : x
  2. Step 2: Convert to fraction form
    8,052.72/12,082.32 = 2,862.24/x
  3. Step 3: Cross multiply
    8,052.72x = 12,082.32 × 2,862.24
  4. Step 4: Simplify right side
    8,052.72x = 34,582,499.60
  5. Step 5: Solve for x
    x = 34,582,499.60/8,052.72
  6. Step 6: Final answer
    x = 4,294.51

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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.