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Finding the Fourth Proportional to 11,763.15, 17,644.73 and 3,971.85

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Solution

The fourth proportional to 11,763.15, 17,644.73 and 3,971.85 is: 5,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.15 : 17,644.73 = 3,971.85 : x
  2. Step 2: Convert to fraction form
    11,763.15/17,644.73 = 3,971.85/x
  3. Step 3: Cross multiply
    11,763.15x = 17,644.73 × 3,971.85
  4. Step 4: Simplify right side
    11,763.15x = 70,082,200.99
  5. Step 5: Solve for x
    x = 70,082,200.99/11,763.15
  6. Step 6: Final answer
    x = 5,957.78

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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.