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Finding the Fourth Proportional to 7,310.92, 10,968 and 2,116.84

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Solution

The fourth proportional to 7,310.92, 10,968 and 2,116.84 is: 3,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,310.92 : 10,968 = 2,116.84 : x
  2. Step 2: Convert to fraction form
    7,310.92/10,968 = 2,116.84/x
  3. Step 3: Cross multiply
    7,310.92x = 10,968 × 2,116.84
  4. Step 4: Simplify right side
    7,310.92x = 23,217,501.12
  5. Step 5: Solve for x
    x = 23,217,501.12/7,310.92
  6. Step 6: Final answer
    x = 3,175.73

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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.