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Finding the Fourth Proportional to 11,697.44, 16,141.84 and 6,391.24

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Solution

The fourth proportional to 11,697.44, 16,141.84 and 6,391.24 is: 8,819.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.44 : 16,141.84 = 6,391.24 : x
  2. Step 2: Convert to fraction form
    11,697.44/16,141.84 = 6,391.24/x
  3. Step 3: Cross multiply
    11,697.44x = 16,141.84 × 6,391.24
  4. Step 4: Simplify right side
    11,697.44x = 103,166,373.48
  5. Step 5: Solve for x
    x = 103,166,373.48/11,697.44
  6. Step 6: Final answer
    x = 8,819.57

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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.