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Finding the Fourth Proportional to 27,865.74, 41,797.52 and 7,089.78

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Solution

The fourth proportional to 27,865.74, 41,797.52 and 7,089.78 is: 10,634.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,865.74 : 41,797.52 = 7,089.78 : x
  2. Step 2: Convert to fraction form
    27,865.74/41,797.52 = 7,089.78/x
  3. Step 3: Cross multiply
    27,865.74x = 41,797.52 × 7,089.78
  4. Step 4: Simplify right side
    27,865.74x = 296,335,221.35
  5. Step 5: Solve for x
    x = 296,335,221.35/27,865.74
  6. Step 6: Final answer
    x = 10,634.39

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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.