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Finding the Fourth Proportional to 11,882.07, 16,398.09 and 6,576.78

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Solution

The fourth proportional to 11,882.07, 16,398.09 and 6,576.78 is: 9,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.07 : 16,398.09 = 6,576.78 : x
  2. Step 2: Convert to fraction form
    11,882.07/16,398.09 = 6,576.78/x
  3. Step 3: Cross multiply
    11,882.07x = 16,398.09 × 6,576.78
  4. Step 4: Simplify right side
    11,882.07x = 107,846,630.35
  5. Step 5: Solve for x
    x = 107,846,630.35/11,882.07
  6. Step 6: Final answer
    x = 9,076.42

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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.