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Finding the Fourth Proportional to 8,052.72, 12,082.20 and 3,122.80

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Solution

The fourth proportional to 8,052.72, 12,082.20 and 3,122.80 is: 4,685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,052.72 : 12,082.20 = 3,122.80 : x
  2. Step 2: Convert to fraction form
    8,052.72/12,082.20 = 3,122.80/x
  3. Step 3: Cross multiply
    8,052.72x = 12,082.20 × 3,122.80
  4. Step 4: Simplify right side
    8,052.72x = 37,730,294.16
  5. Step 5: Solve for x
    x = 37,730,294.16/8,052.72
  6. Step 6: Final answer
    x = 4,685.41

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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.