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Finding the Fourth Proportional to 8,138.72, 12,208.06 and 7,039.82

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Solution

The fourth proportional to 8,138.72, 12,208.06 and 7,039.82 is: 10,559.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.72 : 12,208.06 = 7,039.82 : x
  2. Step 2: Convert to fraction form
    8,138.72/12,208.06 = 7,039.82/x
  3. Step 3: Cross multiply
    8,138.72x = 12,208.06 × 7,039.82
  4. Step 4: Simplify right side
    8,138.72x = 85,942,544.95
  5. Step 5: Solve for x
    x = 85,942,544.95/8,138.72
  6. Step 6: Final answer
    x = 10,559.71

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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.