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Finding the Fourth Proportional to 10,896.87, 16,354.07 and 5,633.43

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Solution

The fourth proportional to 10,896.87, 16,354.07 and 5,633.43 is: 8,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.87 : 16,354.07 = 5,633.43 : x
  2. Step 2: Convert to fraction form
    10,896.87/16,354.07 = 5,633.43/x
  3. Step 3: Cross multiply
    10,896.87x = 16,354.07 × 5,633.43
  4. Step 4: Simplify right side
    10,896.87x = 92,129,508.56
  5. Step 5: Solve for x
    x = 92,129,508.56/10,896.87
  6. Step 6: Final answer
    x = 8,454.68

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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.