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Finding the Fourth Proportional to 10,857.84, 16,286.76 and 2,649.84

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Solution

The fourth proportional to 10,857.84, 16,286.76 and 2,649.84 is: 3,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,857.84 : 16,286.76 = 2,649.84 : x
  2. Step 2: Convert to fraction form
    10,857.84/16,286.76 = 2,649.84/x
  3. Step 3: Cross multiply
    10,857.84x = 16,286.76 × 2,649.84
  4. Step 4: Simplify right side
    10,857.84x = 43,157,308.12
  5. Step 5: Solve for x
    x = 43,157,308.12/10,857.84
  6. Step 6: Final answer
    x = 3,974.76

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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.