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Finding the Fourth Proportional to 11,649.92, 16,076.68 and 6,344.69

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Solution

The fourth proportional to 11,649.92, 16,076.68 and 6,344.69 is: 8,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.92 : 16,076.68 = 6,344.69 : x
  2. Step 2: Convert to fraction form
    11,649.92/16,076.68 = 6,344.69/x
  3. Step 3: Cross multiply
    11,649.92x = 16,076.68 × 6,344.69
  4. Step 4: Simplify right side
    11,649.92x = 102,001,454.58
  5. Step 5: Solve for x
    x = 102,001,454.58/11,649.92
  6. Step 6: Final answer
    x = 8,755.55

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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.