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Finding the Fourth Proportional to 8,233.85, 12,351.29 and 3,302.85

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Solution

The fourth proportional to 8,233.85, 12,351.29 and 3,302.85 is: 4,954.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.85 : 12,351.29 = 3,302.85 : x
  2. Step 2: Convert to fraction form
    8,233.85/12,351.29 = 3,302.85/x
  3. Step 3: Cross multiply
    8,233.85x = 12,351.29 × 3,302.85
  4. Step 4: Simplify right side
    8,233.85x = 40,794,453.24
  5. Step 5: Solve for x
    x = 40,794,453.24/8,233.85
  6. Step 6: Final answer
    x = 4,954.48

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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.