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Finding the Fourth Proportional to 11,676.22, 16,113.13 and 6,371.02

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Solution

The fourth proportional to 11,676.22, 16,113.13 and 6,371.02 is: 8,791.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.22 : 16,113.13 = 6,371.02 : x
  2. Step 2: Convert to fraction form
    11,676.22/16,113.13 = 6,371.02/x
  3. Step 3: Cross multiply
    11,676.22x = 16,113.13 × 6,371.02
  4. Step 4: Simplify right side
    11,676.22x = 102,657,073.49
  5. Step 5: Solve for x
    x = 102,657,073.49/11,676.22
  6. Step 6: Final answer
    x = 8,791.98

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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.