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Finding the Fourth Proportional to 7,084.17, 10,617.84 and 2,697.39

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Solution

The fourth proportional to 7,084.17, 10,617.84 and 2,697.39 is: 4,042.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.17 : 10,617.84 = 2,697.39 : x
  2. Step 2: Convert to fraction form
    7,084.17/10,617.84 = 2,697.39/x
  3. Step 3: Cross multiply
    7,084.17x = 10,617.84 × 2,697.39
  4. Step 4: Simplify right side
    7,084.17x = 28,640,455.44
  5. Step 5: Solve for x
    x = 28,640,455.44/7,084.17
  6. Step 6: Final answer
    x = 4,042.88

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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.