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Finding the Fourth Proportional to 11,338.78, 17,002.14 and 3,941.14

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Solution

The fourth proportional to 11,338.78, 17,002.14 and 3,941.14 is: 5,909.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.78 : 17,002.14 = 3,941.14 : x
  2. Step 2: Convert to fraction form
    11,338.78/17,002.14 = 3,941.14/x
  3. Step 3: Cross multiply
    11,338.78x = 17,002.14 × 3,941.14
  4. Step 4: Simplify right side
    11,338.78x = 67,007,814.04
  5. Step 5: Solve for x
    x = 67,007,814.04/11,338.78
  6. Step 6: Final answer
    x = 5,909.61

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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.