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Finding the Fourth Proportional to 11,902.14, 17,846.97 and 4,109.10

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Solution

The fourth proportional to 11,902.14, 17,846.97 and 4,109.10 is: 6,161.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,902.14 : 17,846.97 = 4,109.10 : x
  2. Step 2: Convert to fraction form
    11,902.14/17,846.97 = 4,109.10/x
  3. Step 3: Cross multiply
    11,902.14x = 17,846.97 × 4,109.10
  4. Step 4: Simplify right side
    11,902.14x = 73,334,984.43
  5. Step 5: Solve for x
    x = 73,334,984.43/11,902.14
  6. Step 6: Final answer
    x = 6,161.50

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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.