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Finding the Fourth Proportional to 11,906.70, 17,859.84 and 4,115.31

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Solution

The fourth proportional to 11,906.70, 17,859.84 and 4,115.31 is: 6,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.70 : 17,859.84 = 4,115.31 : x
  2. Step 2: Convert to fraction form
    11,906.70/17,859.84 = 4,115.31/x
  3. Step 3: Cross multiply
    11,906.70x = 17,859.84 × 4,115.31
  4. Step 4: Simplify right side
    11,906.70x = 73,498,688.85
  5. Step 5: Solve for x
    x = 73,498,688.85/11,906.70
  6. Step 6: Final answer
    x = 6,172.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.