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Finding the Fourth Proportional to 7,196.26, 10,795.74 and 2,813.46

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Solution

The fourth proportional to 7,196.26, 10,795.74 and 2,813.46 is: 4,220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.26 : 10,795.74 = 2,813.46 : x
  2. Step 2: Convert to fraction form
    7,196.26/10,795.74 = 2,813.46/x
  3. Step 3: Cross multiply
    7,196.26x = 10,795.74 × 2,813.46
  4. Step 4: Simplify right side
    7,196.26x = 30,373,382.66
  5. Step 5: Solve for x
    x = 30,373,382.66/7,196.26
  6. Step 6: Final answer
    x = 4,220.72

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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.