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Finding the Fourth Proportional to 6,822.92, 10,234.37 and 2,143.30

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Solution

The fourth proportional to 6,822.92, 10,234.37 and 2,143.30 is: 3,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.92 : 10,234.37 = 2,143.30 : x
  2. Step 2: Convert to fraction form
    6,822.92/10,234.37 = 2,143.30/x
  3. Step 3: Cross multiply
    6,822.92x = 10,234.37 × 2,143.30
  4. Step 4: Simplify right side
    6,822.92x = 21,935,325.22
  5. Step 5: Solve for x
    x = 21,935,325.22/6,822.92
  6. Step 6: Final answer
    x = 3,214.95

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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.