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Finding the Fourth Proportional to 8,213.46, 11,333.97 and 4,676.55

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Solution

The fourth proportional to 8,213.46, 11,333.97 and 4,676.55 is: 6,453.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.46 : 11,333.97 = 4,676.55 : x
  2. Step 2: Convert to fraction form
    8,213.46/11,333.97 = 4,676.55/x
  3. Step 3: Cross multiply
    8,213.46x = 11,333.97 × 4,676.55
  4. Step 4: Simplify right side
    8,213.46x = 53,003,877.40
  5. Step 5: Solve for x
    x = 53,003,877.40/8,213.46
  6. Step 6: Final answer
    x = 6,453.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.