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Finding the Fourth Proportional to 11,896.70, 16,417.42 and 6,519.13

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Solution

The fourth proportional to 11,896.70, 16,417.42 and 6,519.13 is: 8,996.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.70 : 16,417.42 = 6,519.13 : x
  2. Step 2: Convert to fraction form
    11,896.70/16,417.42 = 6,519.13/x
  3. Step 3: Cross multiply
    11,896.70x = 16,417.42 × 6,519.13
  4. Step 4: Simplify right side
    11,896.70x = 107,027,237.90
  5. Step 5: Solve for x
    x = 107,027,237.90/11,896.70
  6. Step 6: Final answer
    x = 8,996.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.