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Finding the Fourth Proportional to 10,163.05, 14,025.57 and 5,914.19

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Solution

The fourth proportional to 10,163.05, 14,025.57 and 5,914.19 is: 8,161.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,163.05 : 14,025.57 = 5,914.19 : x
  2. Step 2: Convert to fraction form
    10,163.05/14,025.57 = 5,914.19/x
  3. Step 3: Cross multiply
    10,163.05x = 14,025.57 × 5,914.19
  4. Step 4: Simplify right side
    10,163.05x = 82,949,920.90
  5. Step 5: Solve for x
    x = 82,949,920.90/10,163.05
  6. Step 6: Final answer
    x = 8,161.91

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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.