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Finding the Fourth Proportional to 11,649.33, 16,080.71 and 8,114.49

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Solution

The fourth proportional to 11,649.33, 16,080.71 and 8,114.49 is: 11,201.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.33 : 16,080.71 = 8,114.49 : x
  2. Step 2: Convert to fraction form
    11,649.33/16,080.71 = 8,114.49/x
  3. Step 3: Cross multiply
    11,649.33x = 16,080.71 × 8,114.49
  4. Step 4: Simplify right side
    11,649.33x = 130,486,719.92
  5. Step 5: Solve for x
    x = 130,486,719.92/11,649.33
  6. Step 6: Final answer
    x = 11,201.22

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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.