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Finding the Fourth Proportional to 8,196.87, 12,292.68 and 3,515.61

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Solution

The fourth proportional to 8,196.87, 12,292.68 and 3,515.61 is: 5,272.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.87 : 12,292.68 = 3,515.61 : x
  2. Step 2: Convert to fraction form
    8,196.87/12,292.68 = 3,515.61/x
  3. Step 3: Cross multiply
    8,196.87x = 12,292.68 × 3,515.61
  4. Step 4: Simplify right side
    8,196.87x = 43,216,268.73
  5. Step 5: Solve for x
    x = 43,216,268.73/8,196.87
  6. Step 6: Final answer
    x = 5,272.29

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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.