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Finding the Fourth Proportional to 27,635.78, 41,441.49 and 7,909.86

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Solution

The fourth proportional to 27,635.78, 41,441.49 and 7,909.86 is: 11,861.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,635.78 : 41,441.49 = 7,909.86 : x
  2. Step 2: Convert to fraction form
    27,635.78/41,441.49 = 7,909.86/x
  3. Step 3: Cross multiply
    27,635.78x = 41,441.49 × 7,909.86
  4. Step 4: Simplify right side
    27,635.78x = 327,796,384.09
  5. Step 5: Solve for x
    x = 327,796,384.09/27,635.78
  6. Step 6: Final answer
    x = 11,861.30

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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.