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Finding the Fourth Proportional to 11,676.87, 16,114.56 and 6,641.97

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Solution

The fourth proportional to 11,676.87, 16,114.56 and 6,641.97 is: 9,166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.87 : 16,114.56 = 6,641.97 : x
  2. Step 2: Convert to fraction form
    11,676.87/16,114.56 = 6,641.97/x
  3. Step 3: Cross multiply
    11,676.87x = 16,114.56 × 6,641.97
  4. Step 4: Simplify right side
    11,676.87x = 107,032,424.08
  5. Step 5: Solve for x
    x = 107,032,424.08/11,676.87
  6. Step 6: Final answer
    x = 9,166.19

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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.