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Finding the Fourth Proportional to 10,822.37, 16,190.85 and 8,197.45

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Solution

The fourth proportional to 10,822.37, 16,190.85 and 8,197.45 is: 12,263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822.37 : 16,190.85 = 8,197.45 : x
  2. Step 2: Convert to fraction form
    10,822.37/16,190.85 = 8,197.45/x
  3. Step 3: Cross multiply
    10,822.37x = 16,190.85 × 8,197.45
  4. Step 4: Simplify right side
    10,822.37x = 132,723,683.33
  5. Step 5: Solve for x
    x = 132,723,683.33/10,822.37
  6. Step 6: Final answer
    x = 12,263.83

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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.