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Finding the Fourth Proportional to 8,092, 12,137.98 and 4,626.82

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Solution

The fourth proportional to 8,092, 12,137.98 and 4,626.82 is: 6,940.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092 : 12,137.98 = 4,626.82 : x
  2. Step 2: Convert to fraction form
    8,092/12,137.98 = 4,626.82/x
  3. Step 3: Cross multiply
    8,092x = 12,137.98 × 4,626.82
  4. Step 4: Simplify right side
    8,092x = 56,160,248.62
  5. Step 5: Solve for x
    x = 56,160,248.62/8,092
  6. Step 6: Final answer
    x = 6,940.22

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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.