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Finding the Fourth Proportional to 8,194.88, 12,290.68 and 3,197.24

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Solution

The fourth proportional to 8,194.88, 12,290.68 and 3,197.24 is: 4,795.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.88 : 12,290.68 = 3,197.24 : x
  2. Step 2: Convert to fraction form
    8,194.88/12,290.68 = 3,197.24/x
  3. Step 3: Cross multiply
    8,194.88x = 12,290.68 × 3,197.24
  4. Step 4: Simplify right side
    8,194.88x = 39,296,253.72
  5. Step 5: Solve for x
    x = 39,296,253.72/8,194.88
  6. Step 6: Final answer
    x = 4,795.22

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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.