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Finding the Fourth Proportional to 8,229.40, 12,344.10 and 3,034.06

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Solution

The fourth proportional to 8,229.40, 12,344.10 and 3,034.06 is: 4,551.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,229.40 : 12,344.10 = 3,034.06 : x
  2. Step 2: Convert to fraction form
    8,229.40/12,344.10 = 3,034.06/x
  3. Step 3: Cross multiply
    8,229.40x = 12,344.10 × 3,034.06
  4. Step 4: Simplify right side
    8,229.40x = 37,452,740.05
  5. Step 5: Solve for x
    x = 37,452,740.05/8,229.40
  6. Step 6: Final answer
    x = 4,551.09

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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.