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Finding the Fourth Proportional to 8,151.20, 12,221.40 and 2,956.40

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Solution

The fourth proportional to 8,151.20, 12,221.40 and 2,956.40 is: 4,432.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.20 : 12,221.40 = 2,956.40 : x
  2. Step 2: Convert to fraction form
    8,151.20/12,221.40 = 2,956.40/x
  3. Step 3: Cross multiply
    8,151.20x = 12,221.40 × 2,956.40
  4. Step 4: Simplify right side
    8,151.20x = 36,131,346.96
  5. Step 5: Solve for x
    x = 36,131,346.96/8,151.20
  6. Step 6: Final answer
    x = 4,432.64

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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.