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Finding the Fourth Proportional to 8,233.86, 12,350.66 and 1,993.83

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Solution

The fourth proportional to 8,233.86, 12,350.66 and 1,993.83 is: 2,990.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.86 : 12,350.66 = 1,993.83 : x
  2. Step 2: Convert to fraction form
    8,233.86/12,350.66 = 1,993.83/x
  3. Step 3: Cross multiply
    8,233.86x = 12,350.66 × 1,993.83
  4. Step 4: Simplify right side
    8,233.86x = 24,625,106.46
  5. Step 5: Solve for x
    x = 24,625,106.46/8,233.86
  6. Step 6: Final answer
    x = 2,990.71

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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.