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Finding the Fourth Proportional to 11,965.92, 17,951.07 and 3,645

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Solution

The fourth proportional to 11,965.92, 17,951.07 and 3,645 is: 5,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.92 : 17,951.07 = 3,645 : x
  2. Step 2: Convert to fraction form
    11,965.92/17,951.07 = 3,645/x
  3. Step 3: Cross multiply
    11,965.92x = 17,951.07 × 3,645
  4. Step 4: Simplify right side
    11,965.92x = 65,431,650.15
  5. Step 5: Solve for x
    x = 65,431,650.15/11,965.92
  6. Step 6: Final answer
    x = 5,468.17

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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.