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Finding the Fourth Proportional to 8,614.74, 12,913.90 and 2,767.24

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Solution

The fourth proportional to 8,614.74, 12,913.90 and 2,767.24 is: 4,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.74 : 12,913.90 = 2,767.24 : x
  2. Step 2: Convert to fraction form
    8,614.74/12,913.90 = 2,767.24/x
  3. Step 3: Cross multiply
    8,614.74x = 12,913.90 × 2,767.24
  4. Step 4: Simplify right side
    8,614.74x = 35,735,846.80
  5. Step 5: Solve for x
    x = 35,735,846.80/8,614.74
  6. Step 6: Final answer
    x = 4,148.22

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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.