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Finding the Fourth Proportional to 7,874.14, 10,863.21 and 4,516.24

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Solution

The fourth proportional to 7,874.14, 10,863.21 and 4,516.24 is: 6,230.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.14 : 10,863.21 = 4,516.24 : x
  2. Step 2: Convert to fraction form
    7,874.14/10,863.21 = 4,516.24/x
  3. Step 3: Cross multiply
    7,874.14x = 10,863.21 × 4,516.24
  4. Step 4: Simplify right side
    7,874.14x = 49,060,863.53
  5. Step 5: Solve for x
    x = 49,060,863.53/7,874.14
  6. Step 6: Final answer
    x = 6,230.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.