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Finding the Fourth Proportional to 8,223.64, 12,333.96 and 2,676.16

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Solution

The fourth proportional to 8,223.64, 12,333.96 and 2,676.16 is: 4,013.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.64 : 12,333.96 = 2,676.16 : x
  2. Step 2: Convert to fraction form
    8,223.64/12,333.96 = 2,676.16/x
  3. Step 3: Cross multiply
    8,223.64x = 12,333.96 × 2,676.16
  4. Step 4: Simplify right side
    8,223.64x = 33,007,650.39
  5. Step 5: Solve for x
    x = 33,007,650.39/8,223.64
  6. Step 6: Final answer
    x = 4,013.75

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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.