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Finding the Fourth Proportional to 8,221.16, 12,331.78 and 2,674.42

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Solution

The fourth proportional to 8,221.16, 12,331.78 and 2,674.42 is: 4,011.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.16 : 12,331.78 = 2,674.42 : x
  2. Step 2: Convert to fraction form
    8,221.16/12,331.78 = 2,674.42/x
  3. Step 3: Cross multiply
    8,221.16x = 12,331.78 × 2,674.42
  4. Step 4: Simplify right side
    8,221.16x = 32,980,321.55
  5. Step 5: Solve for x
    x = 32,980,321.55/8,221.16
  6. Step 6: Final answer
    x = 4,011.64

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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.