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Finding the Fourth Proportional to 11,712.76, 16,163.22 and 6,994.24

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Solution

The fourth proportional to 11,712.76, 16,163.22 and 6,994.24 is: 9,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.76 : 16,163.22 = 6,994.24 : x
  2. Step 2: Convert to fraction form
    11,712.76/16,163.22 = 6,994.24/x
  3. Step 3: Cross multiply
    11,712.76x = 16,163.22 × 6,994.24
  4. Step 4: Simplify right side
    11,712.76x = 113,049,439.85
  5. Step 5: Solve for x
    x = 113,049,439.85/11,712.76
  6. Step 6: Final answer
    x = 9,651.82

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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.