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Finding the Fourth Proportional to 10,006.92, 15,007.26 and 3,767.80

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Solution

The fourth proportional to 10,006.92, 15,007.26 and 3,767.80 is: 5,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.92 : 15,007.26 = 3,767.80 : x
  2. Step 2: Convert to fraction form
    10,006.92/15,007.26 = 3,767.80/x
  3. Step 3: Cross multiply
    10,006.92x = 15,007.26 × 3,767.80
  4. Step 4: Simplify right side
    10,006.92x = 56,544,354.23
  5. Step 5: Solve for x
    x = 56,544,354.23/10,006.92
  6. Step 6: Final answer
    x = 5,650.53

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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.