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Finding the Fourth Proportional to 11,022.42, 16,494.03 and 8,093.46

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Solution

The fourth proportional to 11,022.42, 16,494.03 and 8,093.46 is: 12,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,022.42 : 16,494.03 = 8,093.46 : x
  2. Step 2: Convert to fraction form
    11,022.42/16,494.03 = 8,093.46/x
  3. Step 3: Cross multiply
    11,022.42x = 16,494.03 × 8,093.46
  4. Step 4: Simplify right side
    11,022.42x = 133,493,772.04
  5. Step 5: Solve for x
    x = 133,493,772.04/11,022.42
  6. Step 6: Final answer
    x = 12,111.11

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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.