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Finding the Fourth Proportional to 7,105.70, 9,805.85 and 3,961.88

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Solution

The fourth proportional to 7,105.70, 9,805.85 and 3,961.88 is: 5,467.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.70 : 9,805.85 = 3,961.88 : x
  2. Step 2: Convert to fraction form
    7,105.70/9,805.85 = 3,961.88/x
  3. Step 3: Cross multiply
    7,105.70x = 9,805.85 × 3,961.88
  4. Step 4: Simplify right side
    7,105.70x = 38,849,532.16
  5. Step 5: Solve for x
    x = 38,849,532.16/7,105.70
  6. Step 6: Final answer
    x = 5,467.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.