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Finding the Fourth Proportional to 27,635.64, 41,456.49 and 7,917.40

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Solution

The fourth proportional to 27,635.64, 41,456.49 and 7,917.40 is: 11,876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,635.64 : 41,456.49 = 7,917.40 : x
  2. Step 2: Convert to fraction form
    27,635.64/41,456.49 = 7,917.40/x
  3. Step 3: Cross multiply
    27,635.64x = 41,456.49 × 7,917.40
  4. Step 4: Simplify right side
    27,635.64x = 328,227,613.93
  5. Step 5: Solve for x
    x = 328,227,613.93/27,635.64
  6. Step 6: Final answer
    x = 11,876.97

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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.