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Finding the Fourth Proportional to 27,568.44, 41,346.45 and 7,846.56

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Solution

The fourth proportional to 27,568.44, 41,346.45 and 7,846.56 is: 11,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.44 : 41,346.45 = 7,846.56 : x
  2. Step 2: Convert to fraction form
    27,568.44/41,346.45 = 7,846.56/x
  3. Step 3: Cross multiply
    27,568.44x = 41,346.45 × 7,846.56
  4. Step 4: Simplify right side
    27,568.44x = 324,427,400.71
  5. Step 5: Solve for x
    x = 324,427,400.71/27,568.44
  6. Step 6: Final answer
    x = 11,768.07

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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.