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Finding the Fourth Proportional to 27,793.62, 41,696.88 and 8,072.52

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Solution

The fourth proportional to 27,793.62, 41,696.88 and 8,072.52 is: 12,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.62 : 41,696.88 = 8,072.52 : x
  2. Step 2: Convert to fraction form
    27,793.62/41,696.88 = 8,072.52/x
  3. Step 3: Cross multiply
    27,793.62x = 41,696.88 × 8,072.52
  4. Step 4: Simplify right side
    27,793.62x = 336,598,897.74
  5. Step 5: Solve for x
    x = 336,598,897.74/27,793.62
  6. Step 6: Final answer
    x = 12,110.65

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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.