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Finding the Fourth Proportional to 10,827.26, 16,243 and 4,163.26

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Solution

The fourth proportional to 10,827.26, 16,243 and 4,163.26 is: 6,245.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.26 : 16,243 = 4,163.26 : x
  2. Step 2: Convert to fraction form
    10,827.26/16,243 = 4,163.26/x
  3. Step 3: Cross multiply
    10,827.26x = 16,243 × 4,163.26
  4. Step 4: Simplify right side
    10,827.26x = 67,623,832.18
  5. Step 5: Solve for x
    x = 67,623,832.18/10,827.26
  6. Step 6: Final answer
    x = 6,245.70

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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.