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Finding the Fourth Proportional to 11,753.67, 17,631.72 and 3,963.09

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Solution

The fourth proportional to 11,753.67, 17,631.72 and 3,963.09 is: 5,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.67 : 17,631.72 = 3,963.09 : x
  2. Step 2: Convert to fraction form
    11,753.67/17,631.72 = 3,963.09/x
  3. Step 3: Cross multiply
    11,753.67x = 17,631.72 × 3,963.09
  4. Step 4: Simplify right side
    11,753.67x = 69,876,093.21
  5. Step 5: Solve for x
    x = 69,876,093.21/11,753.67
  6. Step 6: Final answer
    x = 5,945.04

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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.