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Finding the Fourth Proportional to 27,487.81, 41,234.42 and 7,766.52

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Solution

The fourth proportional to 27,487.81, 41,234.42 and 7,766.52 is: 11,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,487.81 : 41,234.42 = 7,766.52 : x
  2. Step 2: Convert to fraction form
    27,487.81/41,234.42 = 7,766.52/x
  3. Step 3: Cross multiply
    27,487.81x = 41,234.42 × 7,766.52
  4. Step 4: Simplify right side
    27,487.81x = 320,247,908.79
  5. Step 5: Solve for x
    x = 320,247,908.79/27,487.81
  6. Step 6: Final answer
    x = 11,650.54

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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.