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Finding the Fourth Proportional to 8,614.10, 12,921.24 and 3,680.66

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Solution

The fourth proportional to 8,614.10, 12,921.24 and 3,680.66 is: 5,521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.10 : 12,921.24 = 3,680.66 : x
  2. Step 2: Convert to fraction form
    8,614.10/12,921.24 = 3,680.66/x
  3. Step 3: Cross multiply
    8,614.10x = 12,921.24 × 3,680.66
  4. Step 4: Simplify right side
    8,614.10x = 47,558,691.22
  5. Step 5: Solve for x
    x = 47,558,691.22/8,614.10
  6. Step 6: Final answer
    x = 5,521.03

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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.