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Finding the Fourth Proportional to 27,589.88, 41,377.97 and 7,868.61

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Solution

The fourth proportional to 27,589.88, 41,377.97 and 7,868.61 is: 11,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,589.88 : 41,377.97 = 7,868.61 : x
  2. Step 2: Convert to fraction form
    27,589.88/41,377.97 = 7,868.61/x
  3. Step 3: Cross multiply
    27,589.88x = 41,377.97 × 7,868.61
  4. Step 4: Simplify right side
    27,589.88x = 325,587,128.19
  5. Step 5: Solve for x
    x = 325,587,128.19/27,589.88
  6. Step 6: Final answer
    x = 11,800.96

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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.