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Finding the Fourth Proportional to 8,151.40, 12,231.90 and 2,956.60

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Solution

The fourth proportional to 8,151.40, 12,231.90 and 2,956.60 is: 4,436.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,151.40 : 12,231.90 = 2,956.60 : x
  2. Step 2: Convert to fraction form
    8,151.40/12,231.90 = 2,956.60/x
  3. Step 3: Cross multiply
    8,151.40x = 12,231.90 × 2,956.60
  4. Step 4: Simplify right side
    8,151.40x = 36,164,835.54
  5. Step 5: Solve for x
    x = 36,164,835.54/8,151.40
  6. Step 6: Final answer
    x = 4,436.64

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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.