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Finding the Fourth Proportional to 6,857.90, 10,280.69 and 2,474.34

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Solution

The fourth proportional to 6,857.90, 10,280.69 and 2,474.34 is: 3,709.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.90 : 10,280.69 = 2,474.34 : x
  2. Step 2: Convert to fraction form
    6,857.90/10,280.69 = 2,474.34/x
  3. Step 3: Cross multiply
    6,857.90x = 10,280.69 × 2,474.34
  4. Step 4: Simplify right side
    6,857.90x = 25,437,922.49
  5. Step 5: Solve for x
    x = 25,437,922.49/6,857.90
  6. Step 6: Final answer
    x = 3,709.29

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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.