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Finding the Fourth Proportional to 11,724.92, 16,163.51 and 8,361.87

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Solution

The fourth proportional to 11,724.92, 16,163.51 and 8,361.87 is: 11,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,724.92 : 16,163.51 = 8,361.87 : x
  2. Step 2: Convert to fraction form
    11,724.92/16,163.51 = 8,361.87/x
  3. Step 3: Cross multiply
    11,724.92x = 16,163.51 × 8,361.87
  4. Step 4: Simplify right side
    11,724.92x = 135,157,127.55
  5. Step 5: Solve for x
    x = 135,157,127.55/11,724.92
  6. Step 6: Final answer
    x = 11,527.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.