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Finding the Fourth Proportional to 11,894.90, 17,847.34 and 5,227.96

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Solution

The fourth proportional to 11,894.90, 17,847.34 and 5,227.96 is: 7,844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.90 : 17,847.34 = 5,227.96 : x
  2. Step 2: Convert to fraction form
    11,894.90/17,847.34 = 5,227.96/x
  3. Step 3: Cross multiply
    11,894.90x = 17,847.34 × 5,227.96
  4. Step 4: Simplify right side
    11,894.90x = 93,305,179.63
  5. Step 5: Solve for x
    x = 93,305,179.63/11,894.90
  6. Step 6: Final answer
    x = 7,844.13

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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.