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Finding the Fourth Proportional to 11,965.68, 16,520.02 and 7,718.27

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Solution

The fourth proportional to 11,965.68, 16,520.02 and 7,718.27 is: 10,655.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.68 : 16,520.02 = 7,718.27 : x
  2. Step 2: Convert to fraction form
    11,965.68/16,520.02 = 7,718.27/x
  3. Step 3: Cross multiply
    11,965.68x = 16,520.02 × 7,718.27
  4. Step 4: Simplify right side
    11,965.68x = 127,505,872.87
  5. Step 5: Solve for x
    x = 127,505,872.87/11,965.68
  6. Step 6: Final answer
    x = 10,655.97

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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.