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Finding the Fourth Proportional to 11,712.61, 16,168.67 and 7,469.37

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Solution

The fourth proportional to 11,712.61, 16,168.67 and 7,469.37 is: 10,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.61 : 16,168.67 = 7,469.37 : x
  2. Step 2: Convert to fraction form
    11,712.61/16,168.67 = 7,469.37/x
  3. Step 3: Cross multiply
    11,712.61x = 16,168.67 × 7,469.37
  4. Step 4: Simplify right side
    11,712.61x = 120,769,660.45
  5. Step 5: Solve for x
    x = 120,769,660.45/11,712.61
  6. Step 6: Final answer
    x = 10,311.08

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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.