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Finding the Fourth Proportional to 7,813.75, 11,722.26 and 3,196.75

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Solution

The fourth proportional to 7,813.75, 11,722.26 and 3,196.75 is: 4,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.75 : 11,722.26 = 3,196.75 : x
  2. Step 2: Convert to fraction form
    7,813.75/11,722.26 = 3,196.75/x
  3. Step 3: Cross multiply
    7,813.75x = 11,722.26 × 3,196.75
  4. Step 4: Simplify right side
    7,813.75x = 37,473,134.66
  5. Step 5: Solve for x
    x = 37,473,134.66/7,813.75
  6. Step 6: Final answer
    x = 4,795.79

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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.