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Finding the Fourth Proportional to 11,711.64, 16,161.89 and 6,676.14

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Solution

The fourth proportional to 11,711.64, 16,161.89 and 6,676.14 is: 9,212.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,711.64 : 16,161.89 = 6,676.14 : x
  2. Step 2: Convert to fraction form
    11,711.64/16,161.89 = 6,676.14/x
  3. Step 3: Cross multiply
    11,711.64x = 16,161.89 × 6,676.14
  4. Step 4: Simplify right side
    11,711.64x = 107,899,040.30
  5. Step 5: Solve for x
    x = 107,899,040.30/11,711.64
  6. Step 6: Final answer
    x = 9,212.97

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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.