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Finding the Fourth Proportional to 27,487.56, 41,234.04 and 7,766.27

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Solution

The fourth proportional to 27,487.56, 41,234.04 and 7,766.27 is: 11,650.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,487.56 : 41,234.04 = 7,766.27 : x
  2. Step 2: Convert to fraction form
    27,487.56/41,234.04 = 7,766.27/x
  3. Step 3: Cross multiply
    27,487.56x = 41,234.04 × 7,766.27
  4. Step 4: Simplify right side
    27,487.56x = 320,234,687.83
  5. Step 5: Solve for x
    x = 320,234,687.83/27,487.56
  6. Step 6: Final answer
    x = 11,650.17

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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.