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Finding the Fourth Proportional to 6,780.72, 10,171.80 and 4,201.68

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Solution

The fourth proportional to 6,780.72, 10,171.80 and 4,201.68 is: 6,302.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.72 : 10,171.80 = 4,201.68 : x
  2. Step 2: Convert to fraction form
    6,780.72/10,171.80 = 4,201.68/x
  3. Step 3: Cross multiply
    6,780.72x = 10,171.80 × 4,201.68
  4. Step 4: Simplify right side
    6,780.72x = 42,738,648.62
  5. Step 5: Solve for x
    x = 42,738,648.62/6,780.72
  6. Step 6: Final answer
    x = 6,302.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.