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Finding the Fourth Proportional to 6,821.09, 10,233.02 and 2,438.44

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Solution

The fourth proportional to 6,821.09, 10,233.02 and 2,438.44 is: 3,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.09 : 10,233.02 = 2,438.44 : x
  2. Step 2: Convert to fraction form
    6,821.09/10,233.02 = 2,438.44/x
  3. Step 3: Cross multiply
    6,821.09x = 10,233.02 × 2,438.44
  4. Step 4: Simplify right side
    6,821.09x = 24,952,605.29
  5. Step 5: Solve for x
    x = 24,952,605.29/6,821.09
  6. Step 6: Final answer
    x = 3,658.16

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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.