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Finding the Fourth Proportional to 8,233.36, 12,349.91 and 1,993.33

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Solution

The fourth proportional to 8,233.36, 12,349.91 and 1,993.33 is: 2,989.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.36 : 12,349.91 = 1,993.33 : x
  2. Step 2: Convert to fraction form
    8,233.36/12,349.91 = 1,993.33/x
  3. Step 3: Cross multiply
    8,233.36x = 12,349.91 × 1,993.33
  4. Step 4: Simplify right side
    8,233.36x = 24,617,436.13
  5. Step 5: Solve for x
    x = 24,617,436.13/8,233.36
  6. Step 6: Final answer
    x = 2,989.96

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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.