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Finding the Fourth Proportional to 27,641.26, 41,469.07 and 7,921.36

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Solution

The fourth proportional to 27,641.26, 41,469.07 and 7,921.36 is: 11,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,641.26 : 41,469.07 = 7,921.36 : x
  2. Step 2: Convert to fraction form
    27,641.26/41,469.07 = 7,921.36/x
  3. Step 3: Cross multiply
    27,641.26x = 41,469.07 × 7,921.36
  4. Step 4: Simplify right side
    27,641.26x = 328,491,432.34
  5. Step 5: Solve for x
    x = 328,491,432.34/27,641.26
  6. Step 6: Final answer
    x = 11,884.10

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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.