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Finding the Fourth Proportional to 11,186.52, 16,792.74 and 6,002.52

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Solution

The fourth proportional to 11,186.52, 16,792.74 and 6,002.52 is: 9,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.52 : 16,792.74 = 6,002.52 : x
  2. Step 2: Convert to fraction form
    11,186.52/16,792.74 = 6,002.52/x
  3. Step 3: Cross multiply
    11,186.52x = 16,792.74 × 6,002.52
  4. Step 4: Simplify right side
    11,186.52x = 100,798,757.70
  5. Step 5: Solve for x
    x = 100,798,757.70/11,186.52
  6. Step 6: Final answer
    x = 9,010.73

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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.