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Finding the Fourth Proportional to 8,438.13, 11,645.07 and 5,081.97

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Solution

The fourth proportional to 8,438.13, 11,645.07 and 5,081.97 is: 7,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.13 : 11,645.07 = 5,081.97 : x
  2. Step 2: Convert to fraction form
    8,438.13/11,645.07 = 5,081.97/x
  3. Step 3: Cross multiply
    8,438.13x = 11,645.07 × 5,081.97
  4. Step 4: Simplify right side
    8,438.13x = 59,179,896.39
  5. Step 5: Solve for x
    x = 59,179,896.39/8,438.13
  6. Step 6: Final answer
    x = 7,013.39

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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.