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Finding the Fourth Proportional to 11,676.29, 16,114.95 and 6,641.73

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Solution

The fourth proportional to 11,676.29, 16,114.95 and 6,641.73 is: 9,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.29 : 16,114.95 = 6,641.73 : x
  2. Step 2: Convert to fraction form
    11,676.29/16,114.95 = 6,641.73/x
  3. Step 3: Cross multiply
    11,676.29x = 16,114.95 × 6,641.73
  4. Step 4: Simplify right side
    11,676.29x = 107,031,146.86
  5. Step 5: Solve for x
    x = 107,031,146.86/11,676.29
  6. Step 6: Final answer
    x = 9,166.54

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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.