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Finding the Fourth Proportional to 11,764.14, 17,640.62 and 6,835.20

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Solution

The fourth proportional to 11,764.14, 17,640.62 and 6,835.20 is: 10,249.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.14 : 17,640.62 = 6,835.20 : x
  2. Step 2: Convert to fraction form
    11,764.14/17,640.62 = 6,835.20/x
  3. Step 3: Cross multiply
    11,764.14x = 17,640.62 × 6,835.20
  4. Step 4: Simplify right side
    11,764.14x = 120,577,165.82
  5. Step 5: Solve for x
    x = 120,577,165.82/11,764.14
  6. Step 6: Final answer
    x = 10,249.55

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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.