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Finding the Fourth Proportional to 6,825.80, 10,238.70 and 5,712.20

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Solution

The fourth proportional to 6,825.80, 10,238.70 and 5,712.20 is: 8,568.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.80 : 10,238.70 = 5,712.20 : x
  2. Step 2: Convert to fraction form
    6,825.80/10,238.70 = 5,712.20/x
  3. Step 3: Cross multiply
    6,825.80x = 10,238.70 × 5,712.20
  4. Step 4: Simplify right side
    6,825.80x = 58,485,502.14
  5. Step 5: Solve for x
    x = 58,485,502.14/6,825.80
  6. Step 6: Final answer
    x = 8,568.30

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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.