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Finding the Fourth Proportional to 11,773.38, 17,658.99 and 3,982.26

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Solution

The fourth proportional to 11,773.38, 17,658.99 and 3,982.26 is: 5,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.38 : 17,658.99 = 3,982.26 : x
  2. Step 2: Convert to fraction form
    11,773.38/17,658.99 = 3,982.26/x
  3. Step 3: Cross multiply
    11,773.38x = 17,658.99 × 3,982.26
  4. Step 4: Simplify right side
    11,773.38x = 70,322,689.52
  5. Step 5: Solve for x
    x = 70,322,689.52/11,773.38
  6. Step 6: Final answer
    x = 5,973.02

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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.