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Finding the Fourth Proportional to 7,865.99, 11,797.14 and 3,481.04

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Solution

The fourth proportional to 7,865.99, 11,797.14 and 3,481.04 is: 5,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.99 : 11,797.14 = 3,481.04 : x
  2. Step 2: Convert to fraction form
    7,865.99/11,797.14 = 3,481.04/x
  3. Step 3: Cross multiply
    7,865.99x = 11,797.14 × 3,481.04
  4. Step 4: Simplify right side
    7,865.99x = 41,066,316.23
  5. Step 5: Solve for x
    x = 41,066,316.23/7,865.99
  6. Step 6: Final answer
    x = 5,220.74

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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.