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Finding the Fourth Proportional to 8,002.96, 11,998.32 and 6,611.92

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Solution

The fourth proportional to 8,002.96, 11,998.32 and 6,611.92 is: 9,912.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.96 : 11,998.32 = 6,611.92 : x
  2. Step 2: Convert to fraction form
    8,002.96/11,998.32 = 6,611.92/x
  3. Step 3: Cross multiply
    8,002.96x = 11,998.32 × 6,611.92
  4. Step 4: Simplify right side
    8,002.96x = 79,331,931.97
  5. Step 5: Solve for x
    x = 79,331,931.97/8,002.96
  6. Step 6: Final answer
    x = 9,912.82

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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.