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Finding the Fourth Proportional to 7,861.68, 11,793.24 and 3,963.60

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Solution

The fourth proportional to 7,861.68, 11,793.24 and 3,963.60 is: 5,945.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,861.68 : 11,793.24 = 3,963.60 : x
  2. Step 2: Convert to fraction form
    7,861.68/11,793.24 = 3,963.60/x
  3. Step 3: Cross multiply
    7,861.68x = 11,793.24 × 3,963.60
  4. Step 4: Simplify right side
    7,861.68x = 46,743,686.06
  5. Step 5: Solve for x
    x = 46,743,686.06/7,861.68
  6. Step 6: Final answer
    x = 5,945.76

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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.