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Finding the Fourth Proportional to 11,694.14, 16,137.66 and 6,388.98

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Solution

The fourth proportional to 11,694.14, 16,137.66 and 6,388.98 is: 8,816.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.14 : 16,137.66 = 6,388.98 : x
  2. Step 2: Convert to fraction form
    11,694.14/16,137.66 = 6,388.98/x
  3. Step 3: Cross multiply
    11,694.14x = 16,137.66 × 6,388.98
  4. Step 4: Simplify right side
    11,694.14x = 103,103,186.99
  5. Step 5: Solve for x
    x = 103,103,186.99/11,694.14
  6. Step 6: Final answer
    x = 8,816.65

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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.