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Finding the Fourth Proportional to 6,822.38, 10,230.11 and 3,490.12

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Solution

The fourth proportional to 6,822.38, 10,230.11 and 3,490.12 is: 5,233.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.38 : 10,230.11 = 3,490.12 : x
  2. Step 2: Convert to fraction form
    6,822.38/10,230.11 = 3,490.12/x
  3. Step 3: Cross multiply
    6,822.38x = 10,230.11 × 3,490.12
  4. Step 4: Simplify right side
    6,822.38x = 35,704,311.51
  5. Step 5: Solve for x
    x = 35,704,311.51/6,822.38
  6. Step 6: Final answer
    x = 5,233.41

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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.