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Finding the Fourth Proportional to 7,949.64, 11,914.74 and 2,749.44

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Solution

The fourth proportional to 7,949.64, 11,914.74 and 2,749.44 is: 4,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.64 : 11,914.74 = 2,749.44 : x
  2. Step 2: Convert to fraction form
    7,949.64/11,914.74 = 2,749.44/x
  3. Step 3: Cross multiply
    7,949.64x = 11,914.74 × 2,749.44
  4. Step 4: Simplify right side
    7,949.64x = 32,758,862.75
  5. Step 5: Solve for x
    x = 32,758,862.75/7,949.64
  6. Step 6: Final answer
    x = 4,120.80

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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.