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Finding the Fourth Proportional to 10,168.43, 15,252.64 and 6,680.48

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Solution

The fourth proportional to 10,168.43, 15,252.64 and 6,680.48 is: 10,020.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.43 : 15,252.64 = 6,680.48 : x
  2. Step 2: Convert to fraction form
    10,168.43/15,252.64 = 6,680.48/x
  3. Step 3: Cross multiply
    10,168.43x = 15,252.64 × 6,680.48
  4. Step 4: Simplify right side
    10,168.43x = 101,894,863.50
  5. Step 5: Solve for x
    x = 101,894,863.50/10,168.43
  6. Step 6: Final answer
    x = 10,020.71

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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.