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Finding the Fourth Proportional to 11,729.52, 17,589.87 and 3,830.18

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Solution

The fourth proportional to 11,729.52, 17,589.87 and 3,830.18 is: 5,743.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.52 : 17,589.87 = 3,830.18 : x
  2. Step 2: Convert to fraction form
    11,729.52/17,589.87 = 3,830.18/x
  3. Step 3: Cross multiply
    11,729.52x = 17,589.87 × 3,830.18
  4. Step 4: Simplify right side
    11,729.52x = 67,372,280.33
  5. Step 5: Solve for x
    x = 67,372,280.33/11,729.52
  6. Step 6: Final answer
    x = 5,743.82

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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.