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Finding the Fourth Proportional to 7,951.44, 11,927.74 and 2,108

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Solution

The fourth proportional to 7,951.44, 11,927.74 and 2,108 is: 3,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.44 : 11,927.74 = 2,108 : x
  2. Step 2: Convert to fraction form
    7,951.44/11,927.74 = 2,108/x
  3. Step 3: Cross multiply
    7,951.44x = 11,927.74 × 2,108
  4. Step 4: Simplify right side
    7,951.44x = 25,143,675.92
  5. Step 5: Solve for x
    x = 25,143,675.92/7,951.44
  6. Step 6: Final answer
    x = 3,162.15

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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.