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Finding the Fourth Proportional to 6,874.42, 10,311.63 and 1,680.25

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Solution

The fourth proportional to 6,874.42, 10,311.63 and 1,680.25 is: 2,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.42 : 10,311.63 = 1,680.25 : x
  2. Step 2: Convert to fraction form
    6,874.42/10,311.63 = 1,680.25/x
  3. Step 3: Cross multiply
    6,874.42x = 10,311.63 × 1,680.25
  4. Step 4: Simplify right side
    6,874.42x = 17,326,116.31
  5. Step 5: Solve for x
    x = 17,326,116.31/6,874.42
  6. Step 6: Final answer
    x = 2,520.38

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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.