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Finding the Fourth Proportional to 8,589.42, 11,837.25 and 5,901.42

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Solution

The fourth proportional to 8,589.42, 11,837.25 and 5,901.42 is: 8,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.42 : 11,837.25 = 5,901.42 : x
  2. Step 2: Convert to fraction form
    8,589.42/11,837.25 = 5,901.42/x
  3. Step 3: Cross multiply
    8,589.42x = 11,837.25 × 5,901.42
  4. Step 4: Simplify right side
    8,589.42x = 69,856,583.90
  5. Step 5: Solve for x
    x = 69,856,583.90/8,589.42
  6. Step 6: Final answer
    x = 8,132.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.