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Finding the Fourth Proportional to 8,451.96, 12,678.42 and 2,212.20

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Solution

The fourth proportional to 8,451.96, 12,678.42 and 2,212.20 is: 3,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,451.96 : 12,678.42 = 2,212.20 : x
  2. Step 2: Convert to fraction form
    8,451.96/12,678.42 = 2,212.20/x
  3. Step 3: Cross multiply
    8,451.96x = 12,678.42 × 2,212.20
  4. Step 4: Simplify right side
    8,451.96x = 28,047,200.72
  5. Step 5: Solve for x
    x = 28,047,200.72/8,451.96
  6. Step 6: Final answer
    x = 3,318.43

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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.