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Finding the Fourth Proportional to 6,851.72, 10,296.77 and 4,078.82

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Solution

The fourth proportional to 6,851.72, 10,296.77 and 4,078.82 is: 6,129.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.72 : 10,296.77 = 4,078.82 : x
  2. Step 2: Convert to fraction form
    6,851.72/10,296.77 = 4,078.82/x
  3. Step 3: Cross multiply
    6,851.72x = 10,296.77 × 4,078.82
  4. Step 4: Simplify right side
    6,851.72x = 41,998,676.76
  5. Step 5: Solve for x
    x = 41,998,676.76/6,851.72
  6. Step 6: Final answer
    x = 6,129.65

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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.