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Finding the Fourth Proportional to 27,631.87, 41,447.80 and 7,910.43

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Solution

The fourth proportional to 27,631.87, 41,447.80 and 7,910.43 is: 11,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,631.87 : 41,447.80 = 7,910.43 : x
  2. Step 2: Convert to fraction form
    27,631.87/41,447.80 = 7,910.43/x
  3. Step 3: Cross multiply
    27,631.87x = 41,447.80 × 7,910.43
  4. Step 4: Simplify right side
    27,631.87x = 327,869,775.01
  5. Step 5: Solve for x
    x = 327,869,775.01/27,631.87
  6. Step 6: Final answer
    x = 11,865.64

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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.