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Finding the Fourth Proportional to 10,801.92, 16,189.04 and 8,331.56

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Solution

The fourth proportional to 10,801.92, 16,189.04 and 8,331.56 is: 12,486.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801.92 : 16,189.04 = 8,331.56 : x
  2. Step 2: Convert to fraction form
    10,801.92/16,189.04 = 8,331.56/x
  3. Step 3: Cross multiply
    10,801.92x = 16,189.04 × 8,331.56
  4. Step 4: Simplify right side
    10,801.92x = 134,879,935.26
  5. Step 5: Solve for x
    x = 134,879,935.26/10,801.92
  6. Step 6: Final answer
    x = 12,486.66

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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.