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Finding the Fourth Proportional to 11,759.13, 16,227.80 and 6,454.44

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Solution

The fourth proportional to 11,759.13, 16,227.80 and 6,454.44 is: 8,907.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.13 : 16,227.80 = 6,454.44 : x
  2. Step 2: Convert to fraction form
    11,759.13/16,227.80 = 6,454.44/x
  3. Step 3: Cross multiply
    11,759.13x = 16,227.80 × 6,454.44
  4. Step 4: Simplify right side
    11,759.13x = 104,741,329.16
  5. Step 5: Solve for x
    x = 104,741,329.16/11,759.13
  6. Step 6: Final answer
    x = 8,907.23

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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.