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Finding the Fourth Proportional to 10,874.87, 16,318.46 and 4,634.22

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Solution

The fourth proportional to 10,874.87, 16,318.46 and 4,634.22 is: 6,953.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.87 : 16,318.46 = 4,634.22 : x
  2. Step 2: Convert to fraction form
    10,874.87/16,318.46 = 4,634.22/x
  3. Step 3: Cross multiply
    10,874.87x = 16,318.46 × 4,634.22
  4. Step 4: Simplify right side
    10,874.87x = 75,623,310.53
  5. Step 5: Solve for x
    x = 75,623,310.53/10,874.87
  6. Step 6: Final answer
    x = 6,953.95

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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.