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Finding the Fourth Proportional to 8,233.80, 12,353.40 and 3,302.12

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Solution

The fourth proportional to 8,233.80, 12,353.40 and 3,302.12 is: 4,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.80 : 12,353.40 = 3,302.12 : x
  2. Step 2: Convert to fraction form
    8,233.80/12,353.40 = 3,302.12/x
  3. Step 3: Cross multiply
    8,233.80x = 12,353.40 × 3,302.12
  4. Step 4: Simplify right side
    8,233.80x = 40,792,409.21
  5. Step 5: Solve for x
    x = 40,792,409.21/8,233.80
  6. Step 6: Final answer
    x = 4,954.26

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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.