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Finding the Fourth Proportional to 11,768.67, 17,652.78 and 4,748.54

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Solution

The fourth proportional to 11,768.67, 17,652.78 and 4,748.54 is: 7,122.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.67 : 17,652.78 = 4,748.54 : x
  2. Step 2: Convert to fraction form
    11,768.67/17,652.78 = 4,748.54/x
  3. Step 3: Cross multiply
    11,768.67x = 17,652.78 × 4,748.54
  4. Step 4: Simplify right side
    11,768.67x = 83,824,843.68
  5. Step 5: Solve for x
    x = 83,824,843.68/11,768.67
  6. Step 6: Final answer
    x = 7,122.71

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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.