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Finding the Fourth Proportional to 7,200, 10,795.68 and 2,517.44

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Solution

The fourth proportional to 7,200, 10,795.68 and 2,517.44 is: 3,774.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200 : 10,795.68 = 2,517.44 : x
  2. Step 2: Convert to fraction form
    7,200/10,795.68 = 2,517.44/x
  3. Step 3: Cross multiply
    7,200x = 10,795.68 × 2,517.44
  4. Step 4: Simplify right side
    7,200x = 27,177,476.66
  5. Step 5: Solve for x
    x = 27,177,476.66/7,200
  6. Step 6: Final answer
    x = 3,774.65

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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.