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Finding the Fourth Proportional to 8,226.34, 12,328.77 and 7,183.87

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Solution

The fourth proportional to 8,226.34, 12,328.77 and 7,183.87 is: 10,766.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.34 : 12,328.77 = 7,183.87 : x
  2. Step 2: Convert to fraction form
    8,226.34/12,328.77 = 7,183.87/x
  3. Step 3: Cross multiply
    8,226.34x = 12,328.77 × 7,183.87
  4. Step 4: Simplify right side
    8,226.34x = 88,568,219.30
  5. Step 5: Solve for x
    x = 88,568,219.30/8,226.34
  6. Step 6: Final answer
    x = 10,766.43

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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.