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Finding the Fourth Proportional to 6,833.56, 10,252.20 and 2,216.56

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Solution

The fourth proportional to 6,833.56, 10,252.20 and 2,216.56 is: 3,325.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.56 : 10,252.20 = 2,216.56 : x
  2. Step 2: Convert to fraction form
    6,833.56/10,252.20 = 2,216.56/x
  3. Step 3: Cross multiply
    6,833.56x = 10,252.20 × 2,216.56
  4. Step 4: Simplify right side
    6,833.56x = 22,724,616.43
  5. Step 5: Solve for x
    x = 22,724,616.43/6,833.56
  6. Step 6: Final answer
    x = 3,325.44

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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.