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Finding the Fourth Proportional to 27,791.88, 41,694.84 and 8,070

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Solution

The fourth proportional to 27,791.88, 41,694.84 and 8,070 is: 12,107.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,791.88 : 41,694.84 = 8,070 : x
  2. Step 2: Convert to fraction form
    27,791.88/41,694.84 = 8,070/x
  3. Step 3: Cross multiply
    27,791.88x = 41,694.84 × 8,070
  4. Step 4: Simplify right side
    27,791.88x = 336,477,358.80
  5. Step 5: Solve for x
    x = 336,477,358.80/27,791.88
  6. Step 6: Final answer
    x = 12,107.04

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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.