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Finding the Fourth Proportional to 11,737.40, 16,193.48 and 6,697.98

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Solution

The fourth proportional to 11,737.40, 16,193.48 and 6,697.98 is: 9,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,737.40 : 16,193.48 = 6,697.98 : x
  2. Step 2: Convert to fraction form
    11,737.40/16,193.48 = 6,697.98/x
  3. Step 3: Cross multiply
    11,737.40x = 16,193.48 × 6,697.98
  4. Step 4: Simplify right side
    11,737.40x = 108,463,571.68
  5. Step 5: Solve for x
    x = 108,463,571.68/11,737.40
  6. Step 6: Final answer
    x = 9,240.86

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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.