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Finding the Fourth Proportional to 11,512.80, 17,233.20 and 7,338.24

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Solution

The fourth proportional to 11,512.80, 17,233.20 and 7,338.24 is: 10,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.80 : 17,233.20 = 7,338.24 : x
  2. Step 2: Convert to fraction form
    11,512.80/17,233.20 = 7,338.24/x
  3. Step 3: Cross multiply
    11,512.80x = 17,233.20 × 7,338.24
  4. Step 4: Simplify right side
    11,512.80x = 126,461,357.57
  5. Step 5: Solve for x
    x = 126,461,357.57/11,512.80
  6. Step 6: Final answer
    x = 10,984.41

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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.