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Finding the Fourth Proportional to 11,474.93, 17,213.22 and 4,804.71

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Solution

The fourth proportional to 11,474.93, 17,213.22 and 4,804.71 is: 7,207.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.93 : 17,213.22 = 4,804.71 : x
  2. Step 2: Convert to fraction form
    11,474.93/17,213.22 = 4,804.71/x
  3. Step 3: Cross multiply
    11,474.93x = 17,213.22 × 4,804.71
  4. Step 4: Simplify right side
    11,474.93x = 82,704,576.80
  5. Step 5: Solve for x
    x = 82,704,576.80/11,474.93
  6. Step 6: Final answer
    x = 7,207.42

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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.