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Finding the Fourth Proportional to 8,290.88, 12,427.68 and 5,694.56

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Solution

The fourth proportional to 8,290.88, 12,427.68 and 5,694.56 is: 8,535.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.88 : 12,427.68 = 5,694.56 : x
  2. Step 2: Convert to fraction form
    8,290.88/12,427.68 = 5,694.56/x
  3. Step 3: Cross multiply
    8,290.88x = 12,427.68 × 5,694.56
  4. Step 4: Simplify right side
    8,290.88x = 70,770,169.42
  5. Step 5: Solve for x
    x = 70,770,169.42/8,290.88
  6. Step 6: Final answer
    x = 8,535.91

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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.