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Finding the Fourth Proportional to 10,874.17, 16,317.73 and 3,949.21

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Solution

The fourth proportional to 10,874.17, 16,317.73 and 3,949.21 is: 5,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.17 : 16,317.73 = 3,949.21 : x
  2. Step 2: Convert to fraction form
    10,874.17/16,317.73 = 3,949.21/x
  3. Step 3: Cross multiply
    10,874.17x = 16,317.73 × 3,949.21
  4. Step 4: Simplify right side
    10,874.17x = 64,442,142.49
  5. Step 5: Solve for x
    x = 64,442,142.49/10,874.17
  6. Step 6: Final answer
    x = 5,926.17

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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.