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Finding the Fourth Proportional to 11,965.15, 16,512.69 and 7,983.73

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Solution

The fourth proportional to 11,965.15, 16,512.69 and 7,983.73 is: 11,018.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.15 : 16,512.69 = 7,983.73 : x
  2. Step 2: Convert to fraction form
    11,965.15/16,512.69 = 7,983.73/x
  3. Step 3: Cross multiply
    11,965.15x = 16,512.69 × 7,983.73
  4. Step 4: Simplify right side
    11,965.15x = 131,832,858.53
  5. Step 5: Solve for x
    x = 131,832,858.53/11,965.15
  6. Step 6: Final answer
    x = 11,018.07

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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.