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Finding the Fourth Proportional to 27,717.62, 41,576.46 and 7,726.32

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Solution

The fourth proportional to 27,717.62, 41,576.46 and 7,726.32 is: 11,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,717.62 : 41,576.46 = 7,726.32 : x
  2. Step 2: Convert to fraction form
    27,717.62/41,576.46 = 7,726.32/x
  3. Step 3: Cross multiply
    27,717.62x = 41,576.46 × 7,726.32
  4. Step 4: Simplify right side
    27,717.62x = 321,233,034.43
  5. Step 5: Solve for x
    x = 321,233,034.43/27,717.62
  6. Step 6: Final answer
    x = 11,589.49

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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.