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Finding the Fourth Proportional to 7,874.53, 11,812.03 and 2,943.23

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Solution

The fourth proportional to 7,874.53, 11,812.03 and 2,943.23 is: 4,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.53 : 11,812.03 = 2,943.23 : x
  2. Step 2: Convert to fraction form
    7,874.53/11,812.03 = 2,943.23/x
  3. Step 3: Cross multiply
    7,874.53x = 11,812.03 × 2,943.23
  4. Step 4: Simplify right side
    7,874.53x = 34,765,487.86
  5. Step 5: Solve for x
    x = 34,765,487.86/7,874.53
  6. Step 6: Final answer
    x = 4,414.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.