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Finding the Fourth Proportional to 11,697.09, 16,141.89 and 6,391.81

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Solution

The fourth proportional to 11,697.09, 16,141.89 and 6,391.81 is: 8,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.09 : 16,141.89 = 6,391.81 : x
  2. Step 2: Convert to fraction form
    11,697.09/16,141.89 = 6,391.81/x
  3. Step 3: Cross multiply
    11,697.09x = 16,141.89 × 6,391.81
  4. Step 4: Simplify right side
    11,697.09x = 103,175,893.92
  5. Step 5: Solve for x
    x = 103,175,893.92/11,697.09
  6. Step 6: Final answer
    x = 8,820.65

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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.