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Finding the Fourth Proportional to 8,396.68, 12,596.51 and 3,463.62

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Solution

The fourth proportional to 8,396.68, 12,596.51 and 3,463.62 is: 5,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.68 : 12,596.51 = 3,463.62 : x
  2. Step 2: Convert to fraction form
    8,396.68/12,596.51 = 3,463.62/x
  3. Step 3: Cross multiply
    8,396.68x = 12,596.51 × 3,463.62
  4. Step 4: Simplify right side
    8,396.68x = 43,629,523.97
  5. Step 5: Solve for x
    x = 43,629,523.97/8,396.68
  6. Step 6: Final answer
    x = 5,196.04

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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.