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Finding the Fourth Proportional to 8,082.72, 12,122.73 and 2,238.30

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Solution

The fourth proportional to 8,082.72, 12,122.73 and 2,238.30 is: 3,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082.72 : 12,122.73 = 2,238.30 : x
  2. Step 2: Convert to fraction form
    8,082.72/12,122.73 = 2,238.30/x
  3. Step 3: Cross multiply
    8,082.72x = 12,122.73 × 2,238.30
  4. Step 4: Simplify right side
    8,082.72x = 27,134,306.56
  5. Step 5: Solve for x
    x = 27,134,306.56/8,082.72
  6. Step 6: Final answer
    x = 3,357.08

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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.