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Finding the Fourth Proportional to 27,793.62, 41,696.91 and 8,072.55

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Solution

The fourth proportional to 27,793.62, 41,696.91 and 8,072.55 is: 12,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,793.62 : 41,696.91 = 8,072.55 : x
  2. Step 2: Convert to fraction form
    27,793.62/41,696.91 = 8,072.55/x
  3. Step 3: Cross multiply
    27,793.62x = 41,696.91 × 8,072.55
  4. Step 4: Simplify right side
    27,793.62x = 336,600,390.82
  5. Step 5: Solve for x
    x = 336,600,390.82/27,793.62
  6. Step 6: Final answer
    x = 12,110.71

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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.