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Finding the Fourth Proportional to 11,249.52, 16,855.82 and 7,946.46

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Solution

The fourth proportional to 11,249.52, 16,855.82 and 7,946.46 is: 11,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.52 : 16,855.82 = 7,946.46 : x
  2. Step 2: Convert to fraction form
    11,249.52/16,855.82 = 7,946.46/x
  3. Step 3: Cross multiply
    11,249.52x = 16,855.82 × 7,946.46
  4. Step 4: Simplify right side
    11,249.52x = 133,944,059.66
  5. Step 5: Solve for x
    x = 133,944,059.66/11,249.52
  6. Step 6: Final answer
    x = 11,906.65

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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.