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Finding the Fourth Proportional to 7,942.92, 11,915.96 and 2,396.00

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Solution

The fourth proportional to 7,942.92, 11,915.96 and 2,396.00 is: 3,594.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942.92 : 11,915.96 = 2,396.00 : x
  2. Step 2: Convert to fraction form
    7,942.92/11,915.96 = 2,396.00/x
  3. Step 3: Cross multiply
    7,942.92x = 11,915.96 × 2,396.00
  4. Step 4: Simplify right side
    7,942.92x = 28,550,568.60
  5. Step 5: Solve for x
    x = 28,550,568.60/7,942.92
  6. Step 6: Final answer
    x = 3,594.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.