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Finding the Fourth Proportional to 8,193.97, 12,282.41 and 5,561.68

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Solution

The fourth proportional to 8,193.97, 12,282.41 and 5,561.68 is: 8,336.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.97 : 12,282.41 = 5,561.68 : x
  2. Step 2: Convert to fraction form
    8,193.97/12,282.41 = 5,561.68/x
  3. Step 3: Cross multiply
    8,193.97x = 12,282.41 × 5,561.68
  4. Step 4: Simplify right side
    8,193.97x = 68,310,832.94
  5. Step 5: Solve for x
    x = 68,310,832.94/8,193.97
  6. Step 6: Final answer
    x = 8,336.72

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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.