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Finding the Fourth Proportional to 11,600.12, 15,997.62 and 9,811.36

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Solution

The fourth proportional to 11,600.12, 15,997.62 and 9,811.36 is: 13,530.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.12 : 15,997.62 = 9,811.36 : x
  2. Step 2: Convert to fraction form
    11,600.12/15,997.62 = 9,811.36/x
  3. Step 3: Cross multiply
    11,600.12x = 15,997.62 × 9,811.36
  4. Step 4: Simplify right side
    11,600.12x = 156,958,279.92
  5. Step 5: Solve for x
    x = 156,958,279.92/11,600.12
  6. Step 6: Final answer
    x = 13,530.75

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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.