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Finding the Fourth Proportional to 11,490.46, 17,221.11 and 5,942.77

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Solution

The fourth proportional to 11,490.46, 17,221.11 and 5,942.77 is: 8,906.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.46 : 17,221.11 = 5,942.77 : x
  2. Step 2: Convert to fraction form
    11,490.46/17,221.11 = 5,942.77/x
  3. Step 3: Cross multiply
    11,490.46x = 17,221.11 × 5,942.77
  4. Step 4: Simplify right side
    11,490.46x = 102,341,030.54
  5. Step 5: Solve for x
    x = 102,341,030.54/11,490.46
  6. Step 6: Final answer
    x = 8,906.61

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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.