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Finding the Fourth Proportional to 11,382.13, 17,073.20 and 3,174.13

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Solution

The fourth proportional to 11,382.13, 17,073.20 and 3,174.13 is: 4,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.13 : 17,073.20 = 3,174.13 : x
  2. Step 2: Convert to fraction form
    11,382.13/17,073.20 = 3,174.13/x
  3. Step 3: Cross multiply
    11,382.13x = 17,073.20 × 3,174.13
  4. Step 4: Simplify right side
    11,382.13x = 54,192,556.32
  5. Step 5: Solve for x
    x = 54,192,556.32/11,382.13
  6. Step 6: Final answer
    x = 4,761.20

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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.