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Finding the Fourth Proportional to 27,565.64, 41,348.47 and 6,789.14

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Solution

The fourth proportional to 27,565.64, 41,348.47 and 6,789.14 is: 10,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,565.64 : 41,348.47 = 6,789.14 : x
  2. Step 2: Convert to fraction form
    27,565.64/41,348.47 = 6,789.14/x
  3. Step 3: Cross multiply
    27,565.64x = 41,348.47 × 6,789.14
  4. Step 4: Simplify right side
    27,565.64x = 280,720,551.62
  5. Step 5: Solve for x
    x = 280,720,551.62/27,565.64
  6. Step 6: Final answer
    x = 10,183.71

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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.