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Finding the Fourth Proportional to 11,640.24, 17,463.24 and 3,849.84

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Solution

The fourth proportional to 11,640.24, 17,463.24 and 3,849.84 is: 5,775.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.24 : 17,463.24 = 3,849.84 : x
  2. Step 2: Convert to fraction form
    11,640.24/17,463.24 = 3,849.84/x
  3. Step 3: Cross multiply
    11,640.24x = 17,463.24 × 3,849.84
  4. Step 4: Simplify right side
    11,640.24x = 67,230,679.88
  5. Step 5: Solve for x
    x = 67,230,679.88/11,640.24
  6. Step 6: Final answer
    x = 5,775.71

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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.