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Finding the Fourth Proportional to 7,944, 11,913.60 and 2,396.88

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Solution

The fourth proportional to 7,944, 11,913.60 and 2,396.88 is: 3,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944 : 11,913.60 = 2,396.88 : x
  2. Step 2: Convert to fraction form
    7,944/11,913.60 = 2,396.88/x
  3. Step 3: Cross multiply
    7,944x = 11,913.60 × 2,396.88
  4. Step 4: Simplify right side
    7,944x = 28,555,469.57
  5. Step 5: Solve for x
    x = 28,555,469.57/7,944
  6. Step 6: Final answer
    x = 3,594.60

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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.