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Finding the Fourth Proportional to 11,793.24, 17,692.16 and 3,895.43

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Solution

The fourth proportional to 11,793.24, 17,692.16 and 3,895.43 is: 5,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.24 : 17,692.16 = 3,895.43 : x
  2. Step 2: Convert to fraction form
    11,793.24/17,692.16 = 3,895.43/x
  3. Step 3: Cross multiply
    11,793.24x = 17,692.16 × 3,895.43
  4. Step 4: Simplify right side
    11,793.24x = 68,918,462.89
  5. Step 5: Solve for x
    x = 68,918,462.89/11,793.24
  6. Step 6: Final answer
    x = 5,843.90

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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.