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Finding the Fourth Proportional to 11,759.26, 16,227.90 and 6,454.28

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Solution

The fourth proportional to 11,759.26, 16,227.90 and 6,454.28 is: 8,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.26 : 16,227.90 = 6,454.28 : x
  2. Step 2: Convert to fraction form
    11,759.26/16,227.90 = 6,454.28/x
  3. Step 3: Cross multiply
    11,759.26x = 16,227.90 × 6,454.28
  4. Step 4: Simplify right side
    11,759.26x = 104,739,410.41
  5. Step 5: Solve for x
    x = 104,739,410.41/11,759.26
  6. Step 6: Final answer
    x = 8,906.97

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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.