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Finding the Fourth Proportional to 7,012.62, 10,520.76 and 2,082.24

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Solution

The fourth proportional to 7,012.62, 10,520.76 and 2,082.24 is: 3,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.62 : 10,520.76 = 2,082.24 : x
  2. Step 2: Convert to fraction form
    7,012.62/10,520.76 = 2,082.24/x
  3. Step 3: Cross multiply
    7,012.62x = 10,520.76 × 2,082.24
  4. Step 4: Simplify right side
    7,012.62x = 21,906,747.30
  5. Step 5: Solve for x
    x = 21,906,747.30/7,012.62
  6. Step 6: Final answer
    x = 3,123.90

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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.