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Finding the Fourth Proportional to 8,195.67, 12,297.11 and 4,299.16

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Solution

The fourth proportional to 8,195.67, 12,297.11 and 4,299.16 is: 6,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.67 : 12,297.11 = 4,299.16 : x
  2. Step 2: Convert to fraction form
    8,195.67/12,297.11 = 4,299.16/x
  3. Step 3: Cross multiply
    8,195.67x = 12,297.11 × 4,299.16
  4. Step 4: Simplify right side
    8,195.67x = 52,867,243.43
  5. Step 5: Solve for x
    x = 52,867,243.43/8,195.67
  6. Step 6: Final answer
    x = 6,450.63

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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.