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Finding the Fourth Proportional to 10,649.67, 15,974.52 and 2,857.89

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Solution

The fourth proportional to 10,649.67, 15,974.52 and 2,857.89 is: 4,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,649.67 : 15,974.52 = 2,857.89 : x
  2. Step 2: Convert to fraction form
    10,649.67/15,974.52 = 2,857.89/x
  3. Step 3: Cross multiply
    10,649.67x = 15,974.52 × 2,857.89
  4. Step 4: Simplify right side
    10,649.67x = 45,653,420.96
  5. Step 5: Solve for x
    x = 45,653,420.96/10,649.67
  6. Step 6: Final answer
    x = 4,286.84

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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.