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Finding the Fourth Proportional to 11,759.14, 16,227.84 and 6,453.64

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Solution

The fourth proportional to 11,759.14, 16,227.84 and 6,453.64 is: 8,906.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,759.14 : 16,227.84 = 6,453.64 : x
  2. Step 2: Convert to fraction form
    11,759.14/16,227.84 = 6,453.64/x
  3. Step 3: Cross multiply
    11,759.14x = 16,227.84 × 6,453.64
  4. Step 4: Simplify right side
    11,759.14x = 104,728,637.34
  5. Step 5: Solve for x
    x = 104,728,637.34/11,759.14
  6. Step 6: Final answer
    x = 8,906.15

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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.