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Finding the Fourth Proportional to 11,933.83, 16,469.15 and 8,164.90

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Solution

The fourth proportional to 11,933.83, 16,469.15 and 8,164.90 is: 11,267.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.83 : 16,469.15 = 8,164.90 : x
  2. Step 2: Convert to fraction form
    11,933.83/16,469.15 = 8,164.90/x
  3. Step 3: Cross multiply
    11,933.83x = 16,469.15 × 8,164.90
  4. Step 4: Simplify right side
    11,933.83x = 134,468,962.84
  5. Step 5: Solve for x
    x = 134,468,962.84/11,933.83
  6. Step 6: Final answer
    x = 11,267.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.