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Finding the Fourth Proportional to 6,730.84, 10,096.62 and 2,571.18

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Solution

The fourth proportional to 6,730.84, 10,096.62 and 2,571.18 is: 3,856.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.84 : 10,096.62 = 2,571.18 : x
  2. Step 2: Convert to fraction form
    6,730.84/10,096.62 = 2,571.18/x
  3. Step 3: Cross multiply
    6,730.84x = 10,096.62 × 2,571.18
  4. Step 4: Simplify right side
    6,730.84x = 25,960,227.41
  5. Step 5: Solve for x
    x = 25,960,227.41/6,730.84
  6. Step 6: Final answer
    x = 3,856.91

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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.