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Finding the Fourth Proportional to 27,573.58, 41,348.06 and 7,847.52

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Solution

The fourth proportional to 27,573.58, 41,348.06 and 7,847.52 is: 11,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,573.58 : 41,348.06 = 7,847.52 : x
  2. Step 2: Convert to fraction form
    27,573.58/41,348.06 = 7,847.52/x
  3. Step 3: Cross multiply
    27,573.58x = 41,348.06 × 7,847.52
  4. Step 4: Simplify right side
    27,573.58x = 324,479,727.81
  5. Step 5: Solve for x
    x = 324,479,727.81/27,573.58
  6. Step 6: Final answer
    x = 11,767.78

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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.