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Finding the Fourth Proportional to 8,721.81, 13,082.31 and 3,174.12

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Solution

The fourth proportional to 8,721.81, 13,082.31 and 3,174.12 is: 4,761.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.81 : 13,082.31 = 3,174.12 : x
  2. Step 2: Convert to fraction form
    8,721.81/13,082.31 = 3,174.12/x
  3. Step 3: Cross multiply
    8,721.81x = 13,082.31 × 3,174.12
  4. Step 4: Simplify right side
    8,721.81x = 41,524,821.82
  5. Step 5: Solve for x
    x = 41,524,821.82/8,721.81
  6. Step 6: Final answer
    x = 4,761.03

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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.