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Finding the Fourth Proportional to 10,066.87, 13,891.09 and 5,817.88

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Solution

The fourth proportional to 10,066.87, 13,891.09 and 5,817.88 is: 8,027.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,066.87 : 13,891.09 = 5,817.88 : x
  2. Step 2: Convert to fraction form
    10,066.87/13,891.09 = 5,817.88/x
  3. Step 3: Cross multiply
    10,066.87x = 13,891.09 × 5,817.88
  4. Step 4: Simplify right side
    10,066.87x = 80,816,694.69
  5. Step 5: Solve for x
    x = 80,816,694.69/10,066.87
  6. Step 6: Final answer
    x = 8,027.99

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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.