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Finding the Fourth Proportional to 11,540.65, 17,343.46 and 6,861.50

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Solution

The fourth proportional to 11,540.65, 17,343.46 and 6,861.50 is: 10,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.65 : 17,343.46 = 6,861.50 : x
  2. Step 2: Convert to fraction form
    11,540.65/17,343.46 = 6,861.50/x
  3. Step 3: Cross multiply
    11,540.65x = 17,343.46 × 6,861.50
  4. Step 4: Simplify right side
    11,540.65x = 119,002,150.79
  5. Step 5: Solve for x
    x = 119,002,150.79/11,540.65
  6. Step 6: Final answer
    x = 10,311.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.