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Finding the Fourth Proportional to 6,940.35, 10,414.31 and 2,557.17

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Solution

The fourth proportional to 6,940.35, 10,414.31 and 2,557.17 is: 3,837.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.35 : 10,414.31 = 2,557.17 : x
  2. Step 2: Convert to fraction form
    6,940.35/10,414.31 = 2,557.17/x
  3. Step 3: Cross multiply
    6,940.35x = 10,414.31 × 2,557.17
  4. Step 4: Simplify right side
    6,940.35x = 26,631,148.32
  5. Step 5: Solve for x
    x = 26,631,148.32/6,940.35
  6. Step 6: Final answer
    x = 3,837.15

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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.