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Finding the Fourth Proportional to 6,855.12, 10,282.56 and 2,238

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Solution

The fourth proportional to 6,855.12, 10,282.56 and 2,238 is: 3,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.12 : 10,282.56 = 2,238 : x
  2. Step 2: Convert to fraction form
    6,855.12/10,282.56 = 2,238/x
  3. Step 3: Cross multiply
    6,855.12x = 10,282.56 × 2,238
  4. Step 4: Simplify right side
    6,855.12x = 23,012,369.28
  5. Step 5: Solve for x
    x = 23,012,369.28/6,855.12
  6. Step 6: Final answer
    x = 3,356.96

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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.