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Finding the Fourth Proportional to 8,103.23, 12,133.81 and 6,940.69

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Solution

The fourth proportional to 8,103.23, 12,133.81 and 6,940.69 is: 10,393.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.23 : 12,133.81 = 6,940.69 : x
  2. Step 2: Convert to fraction form
    8,103.23/12,133.81 = 6,940.69/x
  3. Step 3: Cross multiply
    8,103.23x = 12,133.81 × 6,940.69
  4. Step 4: Simplify right side
    8,103.23x = 84,217,013.73
  5. Step 5: Solve for x
    x = 84,217,013.73/8,103.23
  6. Step 6: Final answer
    x = 10,393.02

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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.