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Finding the Fourth Proportional to 27,563.58, 41,346.99 and 7,840.71

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Solution

The fourth proportional to 27,563.58, 41,346.99 and 7,840.71 is: 11,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,563.58 : 41,346.99 = 7,840.71 : x
  2. Step 2: Convert to fraction form
    27,563.58/41,346.99 = 7,840.71/x
  3. Step 3: Cross multiply
    27,563.58x = 41,346.99 × 7,840.71
  4. Step 4: Simplify right side
    27,563.58x = 324,189,757.96
  5. Step 5: Solve for x
    x = 324,189,757.96/27,563.58
  6. Step 6: Final answer
    x = 11,761.53

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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.