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Finding the Fourth Proportional to 11,843.20, 17,779.20 and 5,996.80

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Solution

The fourth proportional to 11,843.20, 17,779.20 and 5,996.80 is: 9,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.20 : 17,779.20 = 5,996.80 : x
  2. Step 2: Convert to fraction form
    11,843.20/17,779.20 = 5,996.80/x
  3. Step 3: Cross multiply
    11,843.20x = 17,779.20 × 5,996.80
  4. Step 4: Simplify right side
    11,843.20x = 106,618,306.56
  5. Step 5: Solve for x
    x = 106,618,306.56/11,843.20
  6. Step 6: Final answer
    x = 9,002.49

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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.