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Finding the Fourth Proportional to 11,640.74, 17,463.84 and 3,849.50

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Solution

The fourth proportional to 11,640.74, 17,463.84 and 3,849.50 is: 5,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,640.74 : 17,463.84 = 3,849.50 : x
  2. Step 2: Convert to fraction form
    11,640.74/17,463.84 = 3,849.50/x
  3. Step 3: Cross multiply
    11,640.74x = 17,463.84 × 3,849.50
  4. Step 4: Simplify right side
    11,640.74x = 67,227,052.08
  5. Step 5: Solve for x
    x = 67,227,052.08/11,640.74
  6. Step 6: Final answer
    x = 5,775.15

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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.