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Finding the Fourth Proportional to 6,857.39, 10,286.10 and 2,477.94

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Solution

The fourth proportional to 6,857.39, 10,286.10 and 2,477.94 is: 3,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.39 : 10,286.10 = 2,477.94 : x
  2. Step 2: Convert to fraction form
    6,857.39/10,286.10 = 2,477.94/x
  3. Step 3: Cross multiply
    6,857.39x = 10,286.10 × 2,477.94
  4. Step 4: Simplify right side
    6,857.39x = 25,488,338.63
  5. Step 5: Solve for x
    x = 25,488,338.63/6,857.39
  6. Step 6: Final answer
    x = 3,716.92

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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.