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Finding the Fourth Proportional to 10,198.44, 14,073.88 and 5,952.42

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Solution

The fourth proportional to 10,198.44, 14,073.88 and 5,952.42 is: 8,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,198.44 : 14,073.88 = 5,952.42 : x
  2. Step 2: Convert to fraction form
    10,198.44/14,073.88 = 5,952.42/x
  3. Step 3: Cross multiply
    10,198.44x = 14,073.88 × 5,952.42
  4. Step 4: Simplify right side
    10,198.44x = 83,773,644.79
  5. Step 5: Solve for x
    x = 83,773,644.79/10,198.44
  6. Step 6: Final answer
    x = 8,214.36

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