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Finding the Fourth Proportional to 8,233.83, 12,351.37 and 3,233.79

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Solution

The fourth proportional to 8,233.83, 12,351.37 and 3,233.79 is: 4,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.83 : 12,351.37 = 3,233.79 : x
  2. Step 2: Convert to fraction form
    8,233.83/12,351.37 = 3,233.79/x
  3. Step 3: Cross multiply
    8,233.83x = 12,351.37 × 3,233.79
  4. Step 4: Simplify right side
    8,233.83x = 39,941,740.83
  5. Step 5: Solve for x
    x = 39,941,740.83/8,233.83
  6. Step 6: Final answer
    x = 4,850.93

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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.