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Finding the Fourth Proportional to 27,400.47, 41,102.52 and 7,679.80

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Solution

The fourth proportional to 27,400.47, 41,102.52 and 7,679.80 is: 11,520.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,400.47 : 41,102.52 = 7,679.80 : x
  2. Step 2: Convert to fraction form
    27,400.47/41,102.52 = 7,679.80/x
  3. Step 3: Cross multiply
    27,400.47x = 41,102.52 × 7,679.80
  4. Step 4: Simplify right side
    27,400.47x = 315,659,133.10
  5. Step 5: Solve for x
    x = 315,659,133.10/27,400.47
  6. Step 6: Final answer
    x = 11,520.21

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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.