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Finding the Fourth Proportional to 11,704.80, 17,558.10 and 3,913.62

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Solution

The fourth proportional to 11,704.80, 17,558.10 and 3,913.62 is: 5,870.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.80 : 17,558.10 = 3,913.62 : x
  2. Step 2: Convert to fraction form
    11,704.80/17,558.10 = 3,913.62/x
  3. Step 3: Cross multiply
    11,704.80x = 17,558.10 × 3,913.62
  4. Step 4: Simplify right side
    11,704.80x = 68,715,731.32
  5. Step 5: Solve for x
    x = 68,715,731.32/11,704.80
  6. Step 6: Final answer
    x = 5,870.73

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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.