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Finding the Fourth Proportional to 11,676.91, 16,114.24 and 6,371.82

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Solution

The fourth proportional to 11,676.91, 16,114.24 and 6,371.82 is: 8,793.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.91 : 16,114.24 = 6,371.82 : x
  2. Step 2: Convert to fraction form
    11,676.91/16,114.24 = 6,371.82/x
  3. Step 3: Cross multiply
    11,676.91x = 16,114.24 × 6,371.82
  4. Step 4: Simplify right side
    11,676.91x = 102,677,036.72
  5. Step 5: Solve for x
    x = 102,677,036.72/11,676.91
  6. Step 6: Final answer
    x = 8,793.17

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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.