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Finding the Fourth Proportional to 11,829.38, 17,744.97 and 6,899.51

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Solution

The fourth proportional to 11,829.38, 17,744.97 and 6,899.51 is: 10,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,829.38 : 17,744.97 = 6,899.51 : x
  2. Step 2: Convert to fraction form
    11,829.38/17,744.97 = 6,899.51/x
  3. Step 3: Cross multiply
    11,829.38x = 17,744.97 × 6,899.51
  4. Step 4: Simplify right side
    11,829.38x = 122,431,597.96
  5. Step 5: Solve for x
    x = 122,431,597.96/11,829.38
  6. Step 6: Final answer
    x = 10,349.79

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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.