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Finding the Fourth Proportional to 6,857.53, 10,284.98 and 3,343.98

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Solution

The fourth proportional to 6,857.53, 10,284.98 and 3,343.98 is: 5,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.53 : 10,284.98 = 3,343.98 : x
  2. Step 2: Convert to fraction form
    6,857.53/10,284.98 = 3,343.98/x
  3. Step 3: Cross multiply
    6,857.53x = 10,284.98 × 3,343.98
  4. Step 4: Simplify right side
    6,857.53x = 34,392,789.27
  5. Step 5: Solve for x
    x = 34,392,789.27/6,857.53
  6. Step 6: Final answer
    x = 5,015.33

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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.