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Finding the Fourth Proportional to 8,157.44, 12,236.16 and 2,313.30

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Solution

The fourth proportional to 8,157.44, 12,236.16 and 2,313.30 is: 3,469.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.44 : 12,236.16 = 2,313.30 : x
  2. Step 2: Convert to fraction form
    8,157.44/12,236.16 = 2,313.30/x
  3. Step 3: Cross multiply
    8,157.44x = 12,236.16 × 2,313.30
  4. Step 4: Simplify right side
    8,157.44x = 28,305,908.93
  5. Step 5: Solve for x
    x = 28,305,908.93/8,157.44
  6. Step 6: Final answer
    x = 3,469.95

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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.