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Finding the Fourth Proportional to 8,225.44, 12,338.70 and 3,029.56

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Solution

The fourth proportional to 8,225.44, 12,338.70 and 3,029.56 is: 4,544.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.44 : 12,338.70 = 3,029.56 : x
  2. Step 2: Convert to fraction form
    8,225.44/12,338.70 = 3,029.56/x
  3. Step 3: Cross multiply
    8,225.44x = 12,338.70 × 3,029.56
  4. Step 4: Simplify right side
    8,225.44x = 37,380,831.97
  5. Step 5: Solve for x
    x = 37,380,831.97/8,225.44
  6. Step 6: Final answer
    x = 4,544.54

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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.