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Finding the Fourth Proportional to 8,238.13, 12,357.20 and 2,082.13

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Solution

The fourth proportional to 8,238.13, 12,357.20 and 2,082.13 is: 3,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.13 : 12,357.20 = 2,082.13 : x
  2. Step 2: Convert to fraction form
    8,238.13/12,357.20 = 2,082.13/x
  3. Step 3: Cross multiply
    8,238.13x = 12,357.20 × 2,082.13
  4. Step 4: Simplify right side
    8,238.13x = 25,729,296.84
  5. Step 5: Solve for x
    x = 25,729,296.84/8,238.13
  6. Step 6: Final answer
    x = 3,123.20

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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.