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Finding the Fourth Proportional to 8,213.67, 12,316.50 and 4,052.30

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Solution

The fourth proportional to 8,213.67, 12,316.50 and 4,052.30 is: 6,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.67 : 12,316.50 = 4,052.30 : x
  2. Step 2: Convert to fraction form
    8,213.67/12,316.50 = 4,052.30/x
  3. Step 3: Cross multiply
    8,213.67x = 12,316.50 × 4,052.30
  4. Step 4: Simplify right side
    8,213.67x = 49,910,091.37
  5. Step 5: Solve for x
    x = 49,910,091.37/8,213.67
  6. Step 6: Final answer
    x = 6,076.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.