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Finding the Fourth Proportional to 27,540.50, 41,310.65 and 7,819.06

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Solution

The fourth proportional to 27,540.50, 41,310.65 and 7,819.06 is: 11,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,540.50 : 41,310.65 = 7,819.06 : x
  2. Step 2: Convert to fraction form
    27,540.50/41,310.65 = 7,819.06/x
  3. Step 3: Cross multiply
    27,540.50x = 41,310.65 × 7,819.06
  4. Step 4: Simplify right side
    27,540.50x = 323,010,389.58
  5. Step 5: Solve for x
    x = 323,010,389.58/27,540.50
  6. Step 6: Final answer
    x = 11,728.56

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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.