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Finding the Fourth Proportional to 10,241.54, 14,131.82 and 5,992.96

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Solution

The fourth proportional to 10,241.54, 14,131.82 and 5,992.96 is: 8,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.54 : 14,131.82 = 5,992.96 : x
  2. Step 2: Convert to fraction form
    10,241.54/14,131.82 = 5,992.96/x
  3. Step 3: Cross multiply
    10,241.54x = 14,131.82 × 5,992.96
  4. Step 4: Simplify right side
    10,241.54x = 84,691,431.99
  5. Step 5: Solve for x
    x = 84,691,431.99/10,241.54
  6. Step 6: Final answer
    x = 8,269.40

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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.