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Finding the Fourth Proportional to 7,843.92, 11,765.16 and 2,649.84

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Solution

The fourth proportional to 7,843.92, 11,765.16 and 2,649.84 is: 3,974.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.92 : 11,765.16 = 2,649.84 : x
  2. Step 2: Convert to fraction form
    7,843.92/11,765.16 = 2,649.84/x
  3. Step 3: Cross multiply
    7,843.92x = 11,765.16 × 2,649.84
  4. Step 4: Simplify right side
    7,843.92x = 31,175,791.57
  5. Step 5: Solve for x
    x = 31,175,791.57/7,843.92
  6. Step 6: Final answer
    x = 3,974.52

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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.