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Finding the Fourth Proportional to 11,729.97, 17,593.09 and 3,832.41

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Solution

The fourth proportional to 11,729.97, 17,593.09 and 3,832.41 is: 5,748.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.97 : 17,593.09 = 3,832.41 : x
  2. Step 2: Convert to fraction form
    11,729.97/17,593.09 = 3,832.41/x
  3. Step 3: Cross multiply
    11,729.97x = 17,593.09 × 3,832.41
  4. Step 4: Simplify right side
    11,729.97x = 67,423,990.44
  5. Step 5: Solve for x
    x = 67,423,990.44/11,729.97
  6. Step 6: Final answer
    x = 5,748.01

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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.