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Finding the Fourth Proportional to 8,233.49, 12,348.04 and 2,310.03

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Solution

The fourth proportional to 8,233.49, 12,348.04 and 2,310.03 is: 3,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.49 : 12,348.04 = 2,310.03 : x
  2. Step 2: Convert to fraction form
    8,233.49/12,348.04 = 2,310.03/x
  3. Step 3: Cross multiply
    8,233.49x = 12,348.04 × 2,310.03
  4. Step 4: Simplify right side
    8,233.49x = 28,524,269.55
  5. Step 5: Solve for x
    x = 28,524,269.55/8,233.49
  6. Step 6: Final answer
    x = 3,464.42

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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.