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Finding the Fourth Proportional to 11,827.38, 17,741.97 and 6,897.51

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Solution

The fourth proportional to 11,827.38, 17,741.97 and 6,897.51 is: 10,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.38 : 17,741.97 = 6,897.51 : x
  2. Step 2: Convert to fraction form
    11,827.38/17,741.97 = 6,897.51/x
  3. Step 3: Cross multiply
    11,827.38x = 17,741.97 × 6,897.51
  4. Step 4: Simplify right side
    11,827.38x = 122,375,415.49
  5. Step 5: Solve for x
    x = 122,375,415.49/11,827.38
  6. Step 6: Final answer
    x = 10,346.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.