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Finding the Fourth Proportional to 11,759.28, 16,226.88 and 6,454.08

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Solution

The fourth proportional to 11,759.28, 16,226.88 and 6,454.08 is: 8,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.28 : 16,226.88 = 6,454.08 : x
  2. Step 2: Convert to fraction form
    11,759.28/16,226.88 = 6,454.08/x
  3. Step 3: Cross multiply
    11,759.28x = 16,226.88 × 6,454.08
  4. Step 4: Simplify right side
    11,759.28x = 104,729,581.67
  5. Step 5: Solve for x
    x = 104,729,581.67/11,759.28
  6. Step 6: Final answer
    x = 8,906.12

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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.