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Finding the Fourth Proportional to 11,522.46, 17,270.73 and 5,353.50

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Solution

The fourth proportional to 11,522.46, 17,270.73 and 5,353.50 is: 8,024.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.46 : 17,270.73 = 5,353.50 : x
  2. Step 2: Convert to fraction form
    11,522.46/17,270.73 = 5,353.50/x
  3. Step 3: Cross multiply
    11,522.46x = 17,270.73 × 5,353.50
  4. Step 4: Simplify right side
    11,522.46x = 92,458,853.06
  5. Step 5: Solve for x
    x = 92,458,853.06/11,522.46
  6. Step 6: Final answer
    x = 8,024.23

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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.