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Finding the Fourth Proportional to 10,065.77, 13,891.21 and 5,817.37

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Solution

The fourth proportional to 10,065.77, 13,891.21 and 5,817.37 is: 8,028.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.77 : 13,891.21 = 5,817.37 : x
  2. Step 2: Convert to fraction form
    10,065.77/13,891.21 = 5,817.37/x
  3. Step 3: Cross multiply
    10,065.77x = 13,891.21 × 5,817.37
  4. Step 4: Simplify right side
    10,065.77x = 80,810,288.13
  5. Step 5: Solve for x
    x = 80,810,288.13/10,065.77
  6. Step 6: Final answer
    x = 8,028.23

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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.