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Finding the Fourth Proportional to 6,825.84, 10,230.24 and 3,864.06

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Solution

The fourth proportional to 6,825.84, 10,230.24 and 3,864.06 is: 5,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.84 : 10,230.24 = 3,864.06 : x
  2. Step 2: Convert to fraction form
    6,825.84/10,230.24 = 3,864.06/x
  3. Step 3: Cross multiply
    6,825.84x = 10,230.24 × 3,864.06
  4. Step 4: Simplify right side
    6,825.84x = 39,530,261.17
  5. Step 5: Solve for x
    x = 39,530,261.17/6,825.84
  6. Step 6: Final answer
    x = 5,791.27

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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.