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Finding the Fourth Proportional to 7,757.94, 11,627.19 and 3,863.46

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Solution

The fourth proportional to 7,757.94, 11,627.19 and 3,863.46 is: 5,790.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.94 : 11,627.19 = 3,863.46 : x
  2. Step 2: Convert to fraction form
    7,757.94/11,627.19 = 3,863.46/x
  3. Step 3: Cross multiply
    7,757.94x = 11,627.19 × 3,863.46
  4. Step 4: Simplify right side
    7,757.94x = 44,921,183.48
  5. Step 5: Solve for x
    x = 44,921,183.48/7,757.94
  6. Step 6: Final answer
    x = 5,790.35

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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.