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Finding the Fourth Proportional to 6,874.38, 10,311.44 and 1,680.26

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Solution

The fourth proportional to 6,874.38, 10,311.44 and 1,680.26 is: 2,520.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.38 : 10,311.44 = 1,680.26 : x
  2. Step 2: Convert to fraction form
    6,874.38/10,311.44 = 1,680.26/x
  3. Step 3: Cross multiply
    6,874.38x = 10,311.44 × 1,680.26
  4. Step 4: Simplify right side
    6,874.38x = 17,325,840.22
  5. Step 5: Solve for x
    x = 17,325,840.22/6,874.38
  6. Step 6: Final answer
    x = 2,520.35

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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.