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Finding the Fourth Proportional to 8,428.41, 12,644.24 and 3,233.88

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Solution

The fourth proportional to 8,428.41, 12,644.24 and 3,233.88 is: 4,851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.41 : 12,644.24 = 3,233.88 : x
  2. Step 2: Convert to fraction form
    8,428.41/12,644.24 = 3,233.88/x
  3. Step 3: Cross multiply
    8,428.41x = 12,644.24 × 3,233.88
  4. Step 4: Simplify right side
    8,428.41x = 40,889,954.85
  5. Step 5: Solve for x
    x = 40,889,954.85/8,428.41
  6. Step 6: Final answer
    x = 4,851.44

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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.