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Finding the Fourth Proportional to 10,361.97, 15,529.95 and 8,162.01

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Solution

The fourth proportional to 10,361.97, 15,529.95 and 8,162.01 is: 12,232.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,361.97 : 15,529.95 = 8,162.01 : x
  2. Step 2: Convert to fraction form
    10,361.97/15,529.95 = 8,162.01/x
  3. Step 3: Cross multiply
    10,361.97x = 15,529.95 × 8,162.01
  4. Step 4: Simplify right side
    10,361.97x = 126,755,607.20
  5. Step 5: Solve for x
    x = 126,755,607.20/10,361.97
  6. Step 6: Final answer
    x = 12,232.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.