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Finding the Fourth Proportional to 11,589.66, 17,372.97 and 6,039.90

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Solution

The fourth proportional to 11,589.66, 17,372.97 and 6,039.90 is: 9,053.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.66 : 17,372.97 = 6,039.90 : x
  2. Step 2: Convert to fraction form
    11,589.66/17,372.97 = 6,039.90/x
  3. Step 3: Cross multiply
    11,589.66x = 17,372.97 × 6,039.90
  4. Step 4: Simplify right side
    11,589.66x = 104,931,001.50
  5. Step 5: Solve for x
    x = 104,931,001.50/11,589.66
  6. Step 6: Final answer
    x = 9,053.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.