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Finding the Fourth Proportional to 10,857.67, 16,286.64 and 3,462.10

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Solution

The fourth proportional to 10,857.67, 16,286.64 and 3,462.10 is: 5,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.67 : 16,286.64 = 3,462.10 : x
  2. Step 2: Convert to fraction form
    10,857.67/16,286.64 = 3,462.10/x
  3. Step 3: Cross multiply
    10,857.67x = 16,286.64 × 3,462.10
  4. Step 4: Simplify right side
    10,857.67x = 56,385,976.34
  5. Step 5: Solve for x
    x = 56,385,976.34/10,857.67
  6. Step 6: Final answer
    x = 5,193.19

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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.