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Finding the Fourth Proportional to 6,695.92, 10,037.34 and 3,767.92

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Solution

The fourth proportional to 6,695.92, 10,037.34 and 3,767.92 is: 5,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.92 : 10,037.34 = 3,767.92 : x
  2. Step 2: Convert to fraction form
    6,695.92/10,037.34 = 3,767.92/x
  3. Step 3: Cross multiply
    6,695.92x = 10,037.34 × 3,767.92
  4. Step 4: Simplify right side
    6,695.92x = 37,819,894.13
  5. Step 5: Solve for x
    x = 37,819,894.13/6,695.92
  6. Step 6: Final answer
    x = 5,648.20

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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.