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Finding the Fourth Proportional to 11,944.92, 16,488.52 and 7,964.58

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Solution

The fourth proportional to 11,944.92, 16,488.52 and 7,964.58 is: 10,994.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.92 : 16,488.52 = 7,964.58 : x
  2. Step 2: Convert to fraction form
    11,944.92/16,488.52 = 7,964.58/x
  3. Step 3: Cross multiply
    11,944.92x = 16,488.52 × 7,964.58
  4. Step 4: Simplify right side
    11,944.92x = 131,324,136.62
  5. Step 5: Solve for x
    x = 131,324,136.62/11,944.92
  6. Step 6: Final answer
    x = 10,994.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.