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Finding the Fourth Proportional to 11,751.45, 17,623.07 and 4,729.64

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Solution

The fourth proportional to 11,751.45, 17,623.07 and 4,729.64 is: 7,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.45 : 17,623.07 = 4,729.64 : x
  2. Step 2: Convert to fraction form
    11,751.45/17,623.07 = 4,729.64/x
  3. Step 3: Cross multiply
    11,751.45x = 17,623.07 × 4,729.64
  4. Step 4: Simplify right side
    11,751.45x = 83,350,753.15
  5. Step 5: Solve for x
    x = 83,350,753.15/11,751.45
  6. Step 6: Final answer
    x = 7,092.81

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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.