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Finding the Fourth Proportional to 10,704.38, 14,772.04 and 5,989.77

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Solution

The fourth proportional to 10,704.38, 14,772.04 and 5,989.77 is: 8,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.38 : 14,772.04 = 5,989.77 : x
  2. Step 2: Convert to fraction form
    10,704.38/14,772.04 = 5,989.77/x
  3. Step 3: Cross multiply
    10,704.38x = 14,772.04 × 5,989.77
  4. Step 4: Simplify right side
    10,704.38x = 88,481,107.06
  5. Step 5: Solve for x
    x = 88,481,107.06/10,704.38
  6. Step 6: Final answer
    x = 8,265.88

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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.