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Finding the Fourth Proportional to 11,448.20, 17,142.92 and 7,933.20

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Solution

The fourth proportional to 11,448.20, 17,142.92 and 7,933.20 is: 11,879.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,448.20 : 17,142.92 = 7,933.20 : x
  2. Step 2: Convert to fraction form
    11,448.20/17,142.92 = 7,933.20/x
  3. Step 3: Cross multiply
    11,448.20x = 17,142.92 × 7,933.20
  4. Step 4: Simplify right side
    11,448.20x = 135,998,212.94
  5. Step 5: Solve for x
    x = 135,998,212.94/11,448.20
  6. Step 6: Final answer
    x = 11,879.44

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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.