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Finding the Fourth Proportional to 11,991.38, 17,992.26 and 6,438.24

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Solution

The fourth proportional to 11,991.38, 17,992.26 and 6,438.24 is: 9,660.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,991.38 : 17,992.26 = 6,438.24 : x
  2. Step 2: Convert to fraction form
    11,991.38/17,992.26 = 6,438.24/x
  3. Step 3: Cross multiply
    11,991.38x = 17,992.26 × 6,438.24
  4. Step 4: Simplify right side
    11,991.38x = 115,838,488.02
  5. Step 5: Solve for x
    x = 115,838,488.02/11,991.38
  6. Step 6: Final answer
    x = 9,660.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.