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Finding the Fourth Proportional to 6,197.73, 8,540.15 and 5,760.21

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Solution

The fourth proportional to 6,197.73, 8,540.15 and 5,760.21 is: 7,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.73 : 8,540.15 = 5,760.21 : x
  2. Step 2: Convert to fraction form
    6,197.73/8,540.15 = 5,760.21/x
  3. Step 3: Cross multiply
    6,197.73x = 8,540.15 × 5,760.21
  4. Step 4: Simplify right side
    6,197.73x = 49,193,057.43
  5. Step 5: Solve for x
    x = 49,193,057.43/6,197.73
  6. Step 6: Final answer
    x = 7,937.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.