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Finding the Fourth Proportional to 7,930.78, 11,897.52 and 2,735.44

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Solution

The fourth proportional to 7,930.78, 11,897.52 and 2,735.44 is: 4,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.78 : 11,897.52 = 2,735.44 : x
  2. Step 2: Convert to fraction form
    7,930.78/11,897.52 = 2,735.44/x
  3. Step 3: Cross multiply
    7,930.78x = 11,897.52 × 2,735.44
  4. Step 4: Simplify right side
    7,930.78x = 32,544,912.11
  5. Step 5: Solve for x
    x = 32,544,912.11/7,930.78
  6. Step 6: Final answer
    x = 4,103.62

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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.