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Finding the Fourth Proportional to 11,676.31, 16,113 and 6,371.22

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Solution

The fourth proportional to 11,676.31, 16,113 and 6,371.22 is: 8,792.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.31 : 16,113 = 6,371.22 : x
  2. Step 2: Convert to fraction form
    11,676.31/16,113 = 6,371.22/x
  3. Step 3: Cross multiply
    11,676.31x = 16,113 × 6,371.22
  4. Step 4: Simplify right side
    11,676.31x = 102,659,467.86
  5. Step 5: Solve for x
    x = 102,659,467.86/11,676.31
  6. Step 6: Final answer
    x = 8,792.12

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Why These Related Problems?

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