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Finding the Fourth Proportional to 11,287.62, 16,906.86 and 6,891.75

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Solution

The fourth proportional to 11,287.62, 16,906.86 and 6,891.75 is: 10,322.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.62 : 16,906.86 = 6,891.75 : x
  2. Step 2: Convert to fraction form
    11,287.62/16,906.86 = 6,891.75/x
  3. Step 3: Cross multiply
    11,287.62x = 16,906.86 × 6,891.75
  4. Step 4: Simplify right side
    11,287.62x = 116,517,852.41
  5. Step 5: Solve for x
    x = 116,517,852.41/11,287.62
  6. Step 6: Final answer
    x = 10,322.62

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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.