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Finding the Fourth Proportional to 11,268.56, 16,891.48 and 5,422

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Solution

The fourth proportional to 11,268.56, 16,891.48 and 5,422 is: 8,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,268.56 : 16,891.48 = 5,422 : x
  2. Step 2: Convert to fraction form
    11,268.56/16,891.48 = 5,422/x
  3. Step 3: Cross multiply
    11,268.56x = 16,891.48 × 5,422
  4. Step 4: Simplify right side
    11,268.56x = 91,585,604.56
  5. Step 5: Solve for x
    x = 91,585,604.56/11,268.56
  6. Step 6: Final answer
    x = 8,127.53

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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.