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Finding the Fourth Proportional to 11,755.78, 17,634.83 and 3,435.89

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Solution

The fourth proportional to 11,755.78, 17,634.83 and 3,435.89 is: 5,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.78 : 17,634.83 = 3,435.89 : x
  2. Step 2: Convert to fraction form
    11,755.78/17,634.83 = 3,435.89/x
  3. Step 3: Cross multiply
    11,755.78x = 17,634.83 × 3,435.89
  4. Step 4: Simplify right side
    11,755.78x = 60,591,230.70
  5. Step 5: Solve for x
    x = 60,591,230.70/11,755.78
  6. Step 6: Final answer
    x = 5,154.17

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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.