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Finding the Fourth Proportional to 11,829.28, 16,324.16 and 6,524.58

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Solution

The fourth proportional to 11,829.28, 16,324.16 and 6,524.58 is: 9,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.28 : 16,324.16 = 6,524.58 : x
  2. Step 2: Convert to fraction form
    11,829.28/16,324.16 = 6,524.58/x
  3. Step 3: Cross multiply
    11,829.28x = 16,324.16 × 6,524.58
  4. Step 4: Simplify right side
    11,829.28x = 106,508,287.85
  5. Step 5: Solve for x
    x = 106,508,287.85/11,829.28
  6. Step 6: Final answer
    x = 9,003.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.