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Finding the Fourth Proportional to 27,806.44, 41,711.96 and 8,084.97

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Solution

The fourth proportional to 27,806.44, 41,711.96 and 8,084.97 is: 12,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806.44 : 41,711.96 = 8,084.97 : x
  2. Step 2: Convert to fraction form
    27,806.44/41,711.96 = 8,084.97/x
  3. Step 3: Cross multiply
    27,806.44x = 41,711.96 × 8,084.97
  4. Step 4: Simplify right side
    27,806.44x = 337,239,945.24
  5. Step 5: Solve for x
    x = 337,239,945.24/27,806.44
  6. Step 6: Final answer
    x = 12,128.12

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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.