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Finding the Fourth Proportional to 6,874.16, 10,308.78 and 2,714

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Solution

The fourth proportional to 6,874.16, 10,308.78 and 2,714 is: 4,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.16 : 10,308.78 = 2,714 : x
  2. Step 2: Convert to fraction form
    6,874.16/10,308.78 = 2,714/x
  3. Step 3: Cross multiply
    6,874.16x = 10,308.78 × 2,714
  4. Step 4: Simplify right side
    6,874.16x = 27,978,028.92
  5. Step 5: Solve for x
    x = 27,978,028.92/6,874.16
  6. Step 6: Final answer
    x = 4,070.03

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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.