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Finding the Fourth Proportional to 27,578.56, 41,367.36 and 7,857.28

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Solution

The fourth proportional to 27,578.56, 41,367.36 and 7,857.28 is: 11,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.56 : 41,367.36 = 7,857.28 : x
  2. Step 2: Convert to fraction form
    27,578.56/41,367.36 = 7,857.28/x
  3. Step 3: Cross multiply
    27,578.56x = 41,367.36 × 7,857.28
  4. Step 4: Simplify right side
    27,578.56x = 325,034,930.38
  5. Step 5: Solve for x
    x = 325,034,930.38/27,578.56
  6. Step 6: Final answer
    x = 11,785.78

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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.