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Finding the Fourth Proportional to 7,195.78, 10,795 and 2,812.96

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Solution

The fourth proportional to 7,195.78, 10,795 and 2,812.96 is: 4,219.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,195.78 : 10,795 = 2,812.96 : x
  2. Step 2: Convert to fraction form
    7,195.78/10,795 = 2,812.96/x
  3. Step 3: Cross multiply
    7,195.78x = 10,795 × 2,812.96
  4. Step 4: Simplify right side
    7,195.78x = 30,365,903.20
  5. Step 5: Solve for x
    x = 30,365,903.20/7,195.78
  6. Step 6: Final answer
    x = 4,219.96

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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.