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Finding the Fourth Proportional to 7,761.69, 11,586.24 and 7,183.49

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Solution

The fourth proportional to 7,761.69, 11,586.24 and 7,183.49 is: 10,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.69 : 11,586.24 = 7,183.49 : x
  2. Step 2: Convert to fraction form
    7,761.69/11,586.24 = 7,183.49/x
  3. Step 3: Cross multiply
    7,761.69x = 11,586.24 × 7,183.49
  4. Step 4: Simplify right side
    7,761.69x = 83,229,581.25
  5. Step 5: Solve for x
    x = 83,229,581.25/7,761.69
  6. Step 6: Final answer
    x = 10,723.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.