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Finding the Fourth Proportional to 10,693.98, 16,042.41 and 3,766.86

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Solution

The fourth proportional to 10,693.98, 16,042.41 and 3,766.86 is: 5,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.98 : 16,042.41 = 3,766.86 : x
  2. Step 2: Convert to fraction form
    10,693.98/16,042.41 = 3,766.86/x
  3. Step 3: Cross multiply
    10,693.98x = 16,042.41 × 3,766.86
  4. Step 4: Simplify right side
    10,693.98x = 60,429,512.53
  5. Step 5: Solve for x
    x = 60,429,512.53/10,693.98
  6. Step 6: Final answer
    x = 5,650.80

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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.