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Finding the Fourth Proportional to 7,787.92, 11,727.68 and 5,611.96

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Solution

The fourth proportional to 7,787.92, 11,727.68 and 5,611.96 is: 8,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,787.92 : 11,727.68 = 5,611.96 : x
  2. Step 2: Convert to fraction form
    7,787.92/11,727.68 = 5,611.96/x
  3. Step 3: Cross multiply
    7,787.92x = 11,727.68 × 5,611.96
  4. Step 4: Simplify right side
    7,787.92x = 65,815,271.05
  5. Step 5: Solve for x
    x = 65,815,271.05/7,787.92
  6. Step 6: Final answer
    x = 8,450.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.