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Finding the Fourth Proportional to 11,882.36, 16,410.60 and 7,920.28

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Solution

The fourth proportional to 11,882.36, 16,410.60 and 7,920.28 is: 10,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,882.36 : 16,410.60 = 7,920.28 : x
  2. Step 2: Convert to fraction form
    11,882.36/16,410.60 = 7,920.28/x
  3. Step 3: Cross multiply
    11,882.36x = 16,410.60 × 7,920.28
  4. Step 4: Simplify right side
    11,882.36x = 129,976,546.97
  5. Step 5: Solve for x
    x = 129,976,546.97/11,882.36
  6. Step 6: Final answer
    x = 10,938.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.