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Finding the Fourth Proportional to 11,640.85, 16,064.44 and 6,335.78

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Solution

The fourth proportional to 11,640.85, 16,064.44 and 6,335.78 is: 8,743.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.85 : 16,064.44 = 6,335.78 : x
  2. Step 2: Convert to fraction form
    11,640.85/16,064.44 = 6,335.78/x
  3. Step 3: Cross multiply
    11,640.85x = 16,064.44 × 6,335.78
  4. Step 4: Simplify right side
    11,640.85x = 101,780,757.66
  5. Step 5: Solve for x
    x = 101,780,757.66/11,640.85
  6. Step 6: Final answer
    x = 8,743.41

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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.