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Finding the Fourth Proportional to 6,857.95, 10,286.92 and 1,663.82

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Solution

The fourth proportional to 6,857.95, 10,286.92 and 1,663.82 is: 2,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.95 : 10,286.92 = 1,663.82 : x
  2. Step 2: Convert to fraction form
    6,857.95/10,286.92 = 1,663.82/x
  3. Step 3: Cross multiply
    6,857.95x = 10,286.92 × 1,663.82
  4. Step 4: Simplify right side
    6,857.95x = 17,115,583.23
  5. Step 5: Solve for x
    x = 17,115,583.23/6,857.95
  6. Step 6: Final answer
    x = 2,495.73

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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.