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Finding the Fourth Proportional to 11,694.56, 16,138.86 and 6,389.73

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Solution

The fourth proportional to 11,694.56, 16,138.86 and 6,389.73 is: 8,818.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.56 : 16,138.86 = 6,389.73 : x
  2. Step 2: Convert to fraction form
    11,694.56/16,138.86 = 6,389.73/x
  3. Step 3: Cross multiply
    11,694.56x = 16,138.86 × 6,389.73
  4. Step 4: Simplify right side
    11,694.56x = 103,122,957.91
  5. Step 5: Solve for x
    x = 103,122,957.91/11,694.56
  6. Step 6: Final answer
    x = 8,818.03

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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.