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Finding the Fourth Proportional to 7,162.96, 10,743 and 1,968.16

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Solution

The fourth proportional to 7,162.96, 10,743 and 1,968.16 is: 2,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.96 : 10,743 = 1,968.16 : x
  2. Step 2: Convert to fraction form
    7,162.96/10,743 = 1,968.16/x
  3. Step 3: Cross multiply
    7,162.96x = 10,743 × 1,968.16
  4. Step 4: Simplify right side
    7,162.96x = 21,143,942.88
  5. Step 5: Solve for x
    x = 21,143,942.88/7,162.96
  6. Step 6: Final answer
    x = 2,951.84

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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.