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Finding the Fourth Proportional to 11,672.72, 16,108.25 and 6,367.42

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Solution

The fourth proportional to 11,672.72, 16,108.25 and 6,367.42 is: 8,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,672.72 : 16,108.25 = 6,367.42 : x
  2. Step 2: Convert to fraction form
    11,672.72/16,108.25 = 6,367.42/x
  3. Step 3: Cross multiply
    11,672.72x = 16,108.25 × 6,367.42
  4. Step 4: Simplify right side
    11,672.72x = 102,567,993.22
  5. Step 5: Solve for x
    x = 102,567,993.22/11,672.72
  6. Step 6: Final answer
    x = 8,786.98

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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.