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Finding the Fourth Proportional to 6,843.26, 10,258.79 and 2,686.24

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Solution

The fourth proportional to 6,843.26, 10,258.79 and 2,686.24 is: 4,026.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.26 : 10,258.79 = 2,686.24 : x
  2. Step 2: Convert to fraction form
    6,843.26/10,258.79 = 2,686.24/x
  3. Step 3: Cross multiply
    6,843.26x = 10,258.79 × 2,686.24
  4. Step 4: Simplify right side
    6,843.26x = 27,557,572.05
  5. Step 5: Solve for x
    x = 27,557,572.05/6,843.26
  6. Step 6: Final answer
    x = 4,026.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.