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Finding the Fourth Proportional to 11,753.73, 17,627.04 and 4,731.48

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Solution

The fourth proportional to 11,753.73, 17,627.04 and 4,731.48 is: 7,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.73 : 17,627.04 = 4,731.48 : x
  2. Step 2: Convert to fraction form
    11,753.73/17,627.04 = 4,731.48/x
  3. Step 3: Cross multiply
    11,753.73x = 17,627.04 × 4,731.48
  4. Step 4: Simplify right side
    11,753.73x = 83,401,987.22
  5. Step 5: Solve for x
    x = 83,401,987.22/11,753.73
  6. Step 6: Final answer
    x = 7,095.79

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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.