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Finding the Fourth Proportional to 11,704.50, 17,558.24 and 4,314.12

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Solution

The fourth proportional to 11,704.50, 17,558.24 and 4,314.12 is: 6,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.50 : 17,558.24 = 4,314.12 : x
  2. Step 2: Convert to fraction form
    11,704.50/17,558.24 = 4,314.12/x
  3. Step 3: Cross multiply
    11,704.50x = 17,558.24 × 4,314.12
  4. Step 4: Simplify right side
    11,704.50x = 75,748,332.78
  5. Step 5: Solve for x
    x = 75,748,332.78/11,704.50
  6. Step 6: Final answer
    x = 6,471.73

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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.