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Finding the Fourth Proportional to 8,450.82, 12,674.31 and 3,186.37

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Solution

The fourth proportional to 8,450.82, 12,674.31 and 3,186.37 is: 4,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.82 : 12,674.31 = 3,186.37 : x
  2. Step 2: Convert to fraction form
    8,450.82/12,674.31 = 3,186.37/x
  3. Step 3: Cross multiply
    8,450.82x = 12,674.31 × 3,186.37
  4. Step 4: Simplify right side
    8,450.82x = 40,385,041.15
  5. Step 5: Solve for x
    x = 40,385,041.15/8,450.82
  6. Step 6: Final answer
    x = 4,778.83

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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.