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Finding the Fourth Proportional to 6,730.75, 10,096.22 and 2,113.75

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Solution

The fourth proportional to 6,730.75, 10,096.22 and 2,113.75 is: 3,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.75 : 10,096.22 = 2,113.75 : x
  2. Step 2: Convert to fraction form
    6,730.75/10,096.22 = 2,113.75/x
  3. Step 3: Cross multiply
    6,730.75x = 10,096.22 × 2,113.75
  4. Step 4: Simplify right side
    6,730.75x = 21,340,885.03
  5. Step 5: Solve for x
    x = 21,340,885.03/6,730.75
  6. Step 6: Final answer
    x = 3,170.65

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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.