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Finding the Fourth Proportional to 11,694.70, 16,137.90 and 6,388.42

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Solution

The fourth proportional to 11,694.70, 16,137.90 and 6,388.42 is: 8,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.70 : 16,137.90 = 6,388.42 : x
  2. Step 2: Convert to fraction form
    11,694.70/16,137.90 = 6,388.42/x
  3. Step 3: Cross multiply
    11,694.70x = 16,137.90 × 6,388.42
  4. Step 4: Simplify right side
    11,694.70x = 103,095,683.12
  5. Step 5: Solve for x
    x = 103,095,683.12/11,694.70
  6. Step 6: Final answer
    x = 8,815.59

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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.