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Finding the Fourth Proportional to 10,896.37, 16,342.99 and 3,499.87

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Solution

The fourth proportional to 10,896.37, 16,342.99 and 3,499.87 is: 5,249.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.37 : 16,342.99 = 3,499.87 : x
  2. Step 2: Convert to fraction form
    10,896.37/16,342.99 = 3,499.87/x
  3. Step 3: Cross multiply
    10,896.37x = 16,342.99 × 3,499.87
  4. Step 4: Simplify right side
    10,896.37x = 57,198,340.41
  5. Step 5: Solve for x
    x = 57,198,340.41/10,896.37
  6. Step 6: Final answer
    x = 5,249.30

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Why These Related Problems?

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