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Finding the Fourth Proportional to 11,638.13, 16,057.82 and 6,858.27

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Solution

The fourth proportional to 11,638.13, 16,057.82 and 6,858.27 is: 9,462.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.13 : 16,057.82 = 6,858.27 : x
  2. Step 2: Convert to fraction form
    11,638.13/16,057.82 = 6,858.27/x
  3. Step 3: Cross multiply
    11,638.13x = 16,057.82 × 6,858.27
  4. Step 4: Simplify right side
    11,638.13x = 110,128,865.17
  5. Step 5: Solve for x
    x = 110,128,865.17/11,638.13
  6. Step 6: Final answer
    x = 9,462.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.