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Finding the Fourth Proportional to 8,197.68, 12,296.58 and 5,086.74

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Solution

The fourth proportional to 8,197.68, 12,296.58 and 5,086.74 is: 7,630.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.68 : 12,296.58 = 5,086.74 : x
  2. Step 2: Convert to fraction form
    8,197.68/12,296.58 = 5,086.74/x
  3. Step 3: Cross multiply
    8,197.68x = 12,296.58 × 5,086.74
  4. Step 4: Simplify right side
    8,197.68x = 62,549,505.35
  5. Step 5: Solve for x
    x = 62,549,505.35/8,197.68
  6. Step 6: Final answer
    x = 7,630.15

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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.