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Finding the Fourth Proportional to 25,255.13, 37,882.76 and 7,726.32

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Solution

The fourth proportional to 25,255.13, 37,882.76 and 7,726.32 is: 11,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,255.13 : 37,882.76 = 7,726.32 : x
  2. Step 2: Convert to fraction form
    25,255.13/37,882.76 = 7,726.32/x
  3. Step 3: Cross multiply
    25,255.13x = 37,882.76 × 7,726.32
  4. Step 4: Simplify right side
    25,255.13x = 292,694,287.61
  5. Step 5: Solve for x
    x = 292,694,287.61/25,255.13
  6. Step 6: Final answer
    x = 11,589.50

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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.