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Finding the Fourth Proportional to 7,691.50, 11,538.30 and 2,760.10

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Solution

The fourth proportional to 7,691.50, 11,538.30 and 2,760.10 is: 4,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.50 : 11,538.30 = 2,760.10 : x
  2. Step 2: Convert to fraction form
    7,691.50/11,538.30 = 2,760.10/x
  3. Step 3: Cross multiply
    7,691.50x = 11,538.30 × 2,760.10
  4. Step 4: Simplify right side
    7,691.50x = 31,846,861.83
  5. Step 5: Solve for x
    x = 31,846,861.83/7,691.50
  6. Step 6: Final answer
    x = 4,140.53

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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.