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Finding the Fourth Proportional to 10,827.62, 16,234.22 and 3,901.22

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Solution

The fourth proportional to 10,827.62, 16,234.22 and 3,901.22 is: 5,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.62 : 16,234.22 = 3,901.22 : x
  2. Step 2: Convert to fraction form
    10,827.62/16,234.22 = 3,901.22/x
  3. Step 3: Cross multiply
    10,827.62x = 16,234.22 × 3,901.22
  4. Step 4: Simplify right side
    10,827.62x = 63,333,163.07
  5. Step 5: Solve for x
    x = 63,333,163.07/10,827.62
  6. Step 6: Final answer
    x = 5,849.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.