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Finding the Fourth Proportional to 8,222.83, 12,334.71 and 2,676.66

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Solution

The fourth proportional to 8,222.83, 12,334.71 and 2,676.66 is: 4,015.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.83 : 12,334.71 = 2,676.66 : x
  2. Step 2: Convert to fraction form
    8,222.83/12,334.71 = 2,676.66/x
  3. Step 3: Cross multiply
    8,222.83x = 12,334.71 × 2,676.66
  4. Step 4: Simplify right side
    8,222.83x = 33,015,824.87
  5. Step 5: Solve for x
    x = 33,015,824.87/8,222.83
  6. Step 6: Final answer
    x = 4,015.14

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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.