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Finding the Fourth Proportional to 10,992.98, 16,493.30 and 7,993.82

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Solution

The fourth proportional to 10,992.98, 16,493.30 and 7,993.82 is: 11,993.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.98 : 16,493.30 = 7,993.82 : x
  2. Step 2: Convert to fraction form
    10,992.98/16,493.30 = 7,993.82/x
  3. Step 3: Cross multiply
    10,992.98x = 16,493.30 × 7,993.82
  4. Step 4: Simplify right side
    10,992.98x = 131,844,471.41
  5. Step 5: Solve for x
    x = 131,844,471.41/10,992.98
  6. Step 6: Final answer
    x = 11,993.52

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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.