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Finding the Fourth Proportional to 11,595.98, 17,393.97 and 4,198.73

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Solution

The fourth proportional to 11,595.98, 17,393.97 and 4,198.73 is: 6,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.98 : 17,393.97 = 4,198.73 : x
  2. Step 2: Convert to fraction form
    11,595.98/17,393.97 = 4,198.73/x
  3. Step 3: Cross multiply
    11,595.98x = 17,393.97 × 4,198.73
  4. Step 4: Simplify right side
    11,595.98x = 73,032,496.69
  5. Step 5: Solve for x
    x = 73,032,496.69/11,595.98
  6. Step 6: Final answer
    x = 6,298.09

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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.