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Finding the Fourth Proportional to 8,694.21, 11,995.99 and 5,866.83

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Solution

The fourth proportional to 8,694.21, 11,995.99 and 5,866.83 is: 8,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.21 : 11,995.99 = 5,866.83 : x
  2. Step 2: Convert to fraction form
    8,694.21/11,995.99 = 5,866.83/x
  3. Step 3: Cross multiply
    8,694.21x = 11,995.99 × 5,866.83
  4. Step 4: Simplify right side
    8,694.21x = 70,378,434.01
  5. Step 5: Solve for x
    x = 70,378,434.01/8,694.21
  6. Step 6: Final answer
    x = 8,094.86

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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.