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Finding the Fourth Proportional to 11,649.71, 16,076.49 and 6,344.62

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Solution

The fourth proportional to 11,649.71, 16,076.49 and 6,344.62 is: 8,755.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.71 : 16,076.49 = 6,344.62 : x
  2. Step 2: Convert to fraction form
    11,649.71/16,076.49 = 6,344.62/x
  3. Step 3: Cross multiply
    11,649.71x = 16,076.49 × 6,344.62
  4. Step 4: Simplify right side
    11,649.71x = 101,999,195.65
  5. Step 5: Solve for x
    x = 101,999,195.65/11,649.71
  6. Step 6: Final answer
    x = 8,755.51

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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.