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Finding the Fourth Proportional to 7,793.97, 11,692.48 and 2,863.65

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Solution

The fourth proportional to 7,793.97, 11,692.48 and 2,863.65 is: 4,296.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.97 : 11,692.48 = 2,863.65 : x
  2. Step 2: Convert to fraction form
    7,793.97/11,692.48 = 2,863.65/x
  3. Step 3: Cross multiply
    7,793.97x = 11,692.48 × 2,863.65
  4. Step 4: Simplify right side
    7,793.97x = 33,483,170.35
  5. Step 5: Solve for x
    x = 33,483,170.35/7,793.97
  6. Step 6: Final answer
    x = 4,296.04

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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.