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Finding the Fourth Proportional to 7,181.75, 9,910.63 and 3,995.05

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Solution

The fourth proportional to 7,181.75, 9,910.63 and 3,995.05 is: 5,513.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.75 : 9,910.63 = 3,995.05 : x
  2. Step 2: Convert to fraction form
    7,181.75/9,910.63 = 3,995.05/x
  3. Step 3: Cross multiply
    7,181.75x = 9,910.63 × 3,995.05
  4. Step 4: Simplify right side
    7,181.75x = 39,593,462.38
  5. Step 5: Solve for x
    x = 39,593,462.38/7,181.75
  6. Step 6: Final answer
    x = 5,513.07

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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.