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Finding the Fourth Proportional to 11,860.72, 17,793.24 and 4,067.80

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Solution

The fourth proportional to 11,860.72, 17,793.24 and 4,067.80 is: 6,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.72 : 17,793.24 = 4,067.80 : x
  2. Step 2: Convert to fraction form
    11,860.72/17,793.24 = 4,067.80/x
  3. Step 3: Cross multiply
    11,860.72x = 17,793.24 × 4,067.80
  4. Step 4: Simplify right side
    11,860.72x = 72,379,341.67
  5. Step 5: Solve for x
    x = 72,379,341.67/11,860.72
  6. Step 6: Final answer
    x = 6,102.44

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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.