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Finding the Fourth Proportional to 11,264.24, 16,912.76 and 7,994.68

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Solution

The fourth proportional to 11,264.24, 16,912.76 and 7,994.68 is: 12,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.24 : 16,912.76 = 7,994.68 : x
  2. Step 2: Convert to fraction form
    11,264.24/16,912.76 = 7,994.68/x
  3. Step 3: Cross multiply
    11,264.24x = 16,912.76 × 7,994.68
  4. Step 4: Simplify right side
    11,264.24x = 135,212,104.12
  5. Step 5: Solve for x
    x = 135,212,104.12/11,264.24
  6. Step 6: Final answer
    x = 12,003.66

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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.