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Finding the Fourth Proportional to 8,311.02, 12,476.25 and 6,940.50

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Solution

The fourth proportional to 8,311.02, 12,476.25 and 6,940.50 is: 10,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.02 : 12,476.25 = 6,940.50 : x
  2. Step 2: Convert to fraction form
    8,311.02/12,476.25 = 6,940.50/x
  3. Step 3: Cross multiply
    8,311.02x = 12,476.25 × 6,940.50
  4. Step 4: Simplify right side
    8,311.02x = 86,591,413.13
  5. Step 5: Solve for x
    x = 86,591,413.13/8,311.02
  6. Step 6: Final answer
    x = 10,418.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.