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Finding the Fourth Proportional to 10,174.98, 15,194.56 and 7,958.82

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Solution

The fourth proportional to 10,174.98, 15,194.56 and 7,958.82 is: 11,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.98 : 15,194.56 = 7,958.82 : x
  2. Step 2: Convert to fraction form
    10,174.98/15,194.56 = 7,958.82/x
  3. Step 3: Cross multiply
    10,174.98x = 15,194.56 × 7,958.82
  4. Step 4: Simplify right side
    10,174.98x = 120,930,768.02
  5. Step 5: Solve for x
    x = 120,930,768.02/10,174.98
  6. Step 6: Final answer
    x = 11,885.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.