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Finding the Fourth Proportional to 7,196.30, 10,795.17 and 2,578.22

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Solution

The fourth proportional to 7,196.30, 10,795.17 and 2,578.22 is: 3,867.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.30 : 10,795.17 = 2,578.22 : x
  2. Step 2: Convert to fraction form
    7,196.30/10,795.17 = 2,578.22/x
  3. Step 3: Cross multiply
    7,196.30x = 10,795.17 × 2,578.22
  4. Step 4: Simplify right side
    7,196.30x = 27,832,323.20
  5. Step 5: Solve for x
    x = 27,832,323.20/7,196.30
  6. Step 6: Final answer
    x = 3,867.59

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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.