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Finding the Fourth Proportional to 6,820.68, 10,233.51 and 2,872.92

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Solution

The fourth proportional to 6,820.68, 10,233.51 and 2,872.92 is: 4,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.68 : 10,233.51 = 2,872.92 : x
  2. Step 2: Convert to fraction form
    6,820.68/10,233.51 = 2,872.92/x
  3. Step 3: Cross multiply
    6,820.68x = 10,233.51 × 2,872.92
  4. Step 4: Simplify right side
    6,820.68x = 29,400,096.41
  5. Step 5: Solve for x
    x = 29,400,096.41/6,820.68
  6. Step 6: Final answer
    x = 4,310.44

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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.