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Finding the Fourth Proportional to 27,568.60, 41,352.90 and 7,847.80

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Solution

The fourth proportional to 27,568.60, 41,352.90 and 7,847.80 is: 11,771.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,568.60 : 41,352.90 = 7,847.80 : x
  2. Step 2: Convert to fraction form
    27,568.60/41,352.90 = 7,847.80/x
  3. Step 3: Cross multiply
    27,568.60x = 41,352.90 × 7,847.80
  4. Step 4: Simplify right side
    27,568.60x = 324,529,288.62
  5. Step 5: Solve for x
    x = 324,529,288.62/27,568.60
  6. Step 6: Final answer
    x = 11,771.70

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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.