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Finding the Fourth Proportional to 8,222.16, 12,334.86 and 3,028.08

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Solution

The fourth proportional to 8,222.16, 12,334.86 and 3,028.08 is: 4,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.16 : 12,334.86 = 3,028.08 : x
  2. Step 2: Convert to fraction form
    8,222.16/12,334.86 = 3,028.08/x
  3. Step 3: Cross multiply
    8,222.16x = 12,334.86 × 3,028.08
  4. Step 4: Simplify right side
    8,222.16x = 37,350,942.87
  5. Step 5: Solve for x
    x = 37,350,942.87/8,222.16
  6. Step 6: Final answer
    x = 4,542.72

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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.