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Finding the Fourth Proportional to 10,649.68, 15,974.50 and 2,857.88

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Solution

The fourth proportional to 10,649.68, 15,974.50 and 2,857.88 is: 4,286.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.68 : 15,974.50 = 2,857.88 : x
  2. Step 2: Convert to fraction form
    10,649.68/15,974.50 = 2,857.88/x
  3. Step 3: Cross multiply
    10,649.68x = 15,974.50 × 2,857.88
  4. Step 4: Simplify right side
    10,649.68x = 45,653,204.06
  5. Step 5: Solve for x
    x = 45,653,204.06/10,649.68
  6. Step 6: Final answer
    x = 4,286.81

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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.