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Finding the Fourth Proportional to 8,233.47, 12,352.52 and 3,306.57

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Solution

The fourth proportional to 8,233.47, 12,352.52 and 3,306.57 is: 4,960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.47 : 12,352.52 = 3,306.57 : x
  2. Step 2: Convert to fraction form
    8,233.47/12,352.52 = 3,306.57/x
  3. Step 3: Cross multiply
    8,233.47x = 12,352.52 × 3,306.57
  4. Step 4: Simplify right side
    8,233.47x = 40,844,511.20
  5. Step 5: Solve for x
    x = 40,844,511.20/8,233.47
  6. Step 6: Final answer
    x = 4,960.79

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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.