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Finding the Fourth Proportional to 11,672.74, 16,108.77 and 6,367.85

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Solution

The fourth proportional to 11,672.74, 16,108.77 and 6,367.85 is: 8,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.74 : 16,108.77 = 6,367.85 : x
  2. Step 2: Convert to fraction form
    11,672.74/16,108.77 = 6,367.85/x
  3. Step 3: Cross multiply
    11,672.74x = 16,108.77 × 6,367.85
  4. Step 4: Simplify right side
    11,672.74x = 102,578,231.04
  5. Step 5: Solve for x
    x = 102,578,231.04/11,672.74
  6. Step 6: Final answer
    x = 8,787.85

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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.