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Finding the Fourth Proportional to 7,921.88, 11,882.84 and 2,375.80

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Solution

The fourth proportional to 7,921.88, 11,882.84 and 2,375.80 is: 3,563.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.88 : 11,882.84 = 2,375.80 : x
  2. Step 2: Convert to fraction form
    7,921.88/11,882.84 = 2,375.80/x
  3. Step 3: Cross multiply
    7,921.88x = 11,882.84 × 2,375.80
  4. Step 4: Simplify right side
    7,921.88x = 28,231,251.27
  5. Step 5: Solve for x
    x = 28,231,251.27/7,921.88
  6. Step 6: Final answer
    x = 3,563.71

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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.