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Finding the Fourth Proportional to 10,197.44, 14,072.50 and 5,951.42

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Solution

The fourth proportional to 10,197.44, 14,072.50 and 5,951.42 is: 8,212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,197.44 : 14,072.50 = 5,951.42 : x
  2. Step 2: Convert to fraction form
    10,197.44/14,072.50 = 5,951.42/x
  3. Step 3: Cross multiply
    10,197.44x = 14,072.50 × 5,951.42
  4. Step 4: Simplify right side
    10,197.44x = 83,751,357.95
  5. Step 5: Solve for x
    x = 83,751,357.95/10,197.44
  6. Step 6: Final answer
    x = 8,212.98

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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.