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Finding the Fourth Proportional to 7,148.85, 10,725.09 and 3,861.97

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Solution

The fourth proportional to 7,148.85, 10,725.09 and 3,861.97 is: 5,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.85 : 10,725.09 = 3,861.97 : x
  2. Step 2: Convert to fraction form
    7,148.85/10,725.09 = 3,861.97/x
  3. Step 3: Cross multiply
    7,148.85x = 10,725.09 × 3,861.97
  4. Step 4: Simplify right side
    7,148.85x = 41,419,975.83
  5. Step 5: Solve for x
    x = 41,419,975.83/7,148.85
  6. Step 6: Final answer
    x = 5,793.94

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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.