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Finding the Fourth Proportional to 6,874.89, 10,310.40 and 2,657.18

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Solution

The fourth proportional to 6,874.89, 10,310.40 and 2,657.18 is: 3,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.89 : 10,310.40 = 2,657.18 : x
  2. Step 2: Convert to fraction form
    6,874.89/10,310.40 = 2,657.18/x
  3. Step 3: Cross multiply
    6,874.89x = 10,310.40 × 2,657.18
  4. Step 4: Simplify right side
    6,874.89x = 27,396,537.12
  5. Step 5: Solve for x
    x = 27,396,537.12/6,874.89
  6. Step 6: Final answer
    x = 3,985.01

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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.