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Finding the Fourth Proportional to 8,589.38, 11,851.89 and 5,231.06

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Solution

The fourth proportional to 8,589.38, 11,851.89 and 5,231.06 is: 7,217.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.38 : 11,851.89 = 5,231.06 : x
  2. Step 2: Convert to fraction form
    8,589.38/11,851.89 = 5,231.06/x
  3. Step 3: Cross multiply
    8,589.38x = 11,851.89 × 5,231.06
  4. Step 4: Simplify right side
    8,589.38x = 61,997,947.70
  5. Step 5: Solve for x
    x = 61,997,947.70/8,589.38
  6. Step 6: Final answer
    x = 7,217.98

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Why These Related Problems?

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