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Finding the Fourth Proportional to 8,396.46, 12,596.31 and 2,850.75

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Solution

The fourth proportional to 8,396.46, 12,596.31 and 2,850.75 is: 4,276.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.46 : 12,596.31 = 2,850.75 : x
  2. Step 2: Convert to fraction form
    8,396.46/12,596.31 = 2,850.75/x
  3. Step 3: Cross multiply
    8,396.46x = 12,596.31 × 2,850.75
  4. Step 4: Simplify right side
    8,396.46x = 35,908,930.73
  5. Step 5: Solve for x
    x = 35,908,930.73/8,396.46
  6. Step 6: Final answer
    x = 4,276.68

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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.