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Finding the Fourth Proportional to 8,197.73, 12,296.60 and 3,514.71

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Solution

The fourth proportional to 8,197.73, 12,296.60 and 3,514.71 is: 5,272.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.73 : 12,296.60 = 3,514.71 : x
  2. Step 2: Convert to fraction form
    8,197.73/12,296.60 = 3,514.71/x
  3. Step 3: Cross multiply
    8,197.73x = 12,296.60 × 3,514.71
  4. Step 4: Simplify right side
    8,197.73x = 43,218,965.41
  5. Step 5: Solve for x
    x = 43,218,965.41/8,197.73
  6. Step 6: Final answer
    x = 5,272.07

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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.