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Finding the Fourth Proportional to 10,914, 16,372.52 and 3,891.96

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Solution

The fourth proportional to 10,914, 16,372.52 and 3,891.96 is: 5,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914 : 16,372.52 = 3,891.96 : x
  2. Step 2: Convert to fraction form
    10,914/16,372.52 = 3,891.96/x
  3. Step 3: Cross multiply
    10,914x = 16,372.52 × 3,891.96
  4. Step 4: Simplify right side
    10,914x = 63,721,192.94
  5. Step 5: Solve for x
    x = 63,721,192.94/10,914
  6. Step 6: Final answer
    x = 5,838.48

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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.