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Finding the Fourth Proportional to 8,530.75, 12,791.67 and 3,846.72

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Solution

The fourth proportional to 8,530.75, 12,791.67 and 3,846.72 is: 5,768.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.75 : 12,791.67 = 3,846.72 : x
  2. Step 2: Convert to fraction form
    8,530.75/12,791.67 = 3,846.72/x
  3. Step 3: Cross multiply
    8,530.75x = 12,791.67 × 3,846.72
  4. Step 4: Simplify right side
    8,530.75x = 49,205,972.82
  5. Step 5: Solve for x
    x = 49,205,972.82/8,530.75
  6. Step 6: Final answer
    x = 5,768.07

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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.