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Finding the Fourth Proportional to 10,027.45, 13,838.09 and 5,998.43

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Solution

The fourth proportional to 10,027.45, 13,838.09 and 5,998.43 is: 8,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.45 : 13,838.09 = 5,998.43 : x
  2. Step 2: Convert to fraction form
    10,027.45/13,838.09 = 5,998.43/x
  3. Step 3: Cross multiply
    10,027.45x = 13,838.09 × 5,998.43
  4. Step 4: Simplify right side
    10,027.45x = 83,006,846.70
  5. Step 5: Solve for x
    x = 83,006,846.70/10,027.45
  6. Step 6: Final answer
    x = 8,277.96

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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.