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Finding the Fourth Proportional to 11,697.35, 16,143.26 and 6,661.78

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Solution

The fourth proportional to 11,697.35, 16,143.26 and 6,661.78 is: 9,193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.35 : 16,143.26 = 6,661.78 : x
  2. Step 2: Convert to fraction form
    11,697.35/16,143.26 = 6,661.78/x
  3. Step 3: Cross multiply
    11,697.35x = 16,143.26 × 6,661.78
  4. Step 4: Simplify right side
    11,697.35x = 107,542,846.60
  5. Step 5: Solve for x
    x = 107,542,846.60/11,697.35
  6. Step 6: Final answer
    x = 9,193.78

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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.