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Finding the Fourth Proportional to 11,882.18, 16,399.17 and 6,845.45

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Solution

The fourth proportional to 11,882.18, 16,399.17 and 6,845.45 is: 9,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.18 : 16,399.17 = 6,845.45 : x
  2. Step 2: Convert to fraction form
    11,882.18/16,399.17 = 6,845.45/x
  3. Step 3: Cross multiply
    11,882.18x = 16,399.17 × 6,845.45
  4. Step 4: Simplify right side
    11,882.18x = 112,259,616.28
  5. Step 5: Solve for x
    x = 112,259,616.28/11,882.18
  6. Step 6: Final answer
    x = 9,447.73

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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.