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Finding the Fourth Proportional to 8,612.26, 12,922.02 and 5,149.50

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Solution

The fourth proportional to 8,612.26, 12,922.02 and 5,149.50 is: 7,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,612.26 : 12,922.02 = 5,149.50 : x
  2. Step 2: Convert to fraction form
    8,612.26/12,922.02 = 5,149.50/x
  3. Step 3: Cross multiply
    8,612.26x = 12,922.02 × 5,149.50
  4. Step 4: Simplify right side
    8,612.26x = 66,541,941.99
  5. Step 5: Solve for x
    x = 66,541,941.99/8,612.26
  6. Step 6: Final answer
    x = 7,726.42

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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.