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Finding the Fourth Proportional to 8,122.91, 11,209.70 and 4,765.78

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Solution

The fourth proportional to 8,122.91, 11,209.70 and 4,765.78 is: 6,576.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.91 : 11,209.70 = 4,765.78 : x
  2. Step 2: Convert to fraction form
    8,122.91/11,209.70 = 4,765.78/x
  3. Step 3: Cross multiply
    8,122.91x = 11,209.70 × 4,765.78
  4. Step 4: Simplify right side
    8,122.91x = 53,422,964.07
  5. Step 5: Solve for x
    x = 53,422,964.07/8,122.91
  6. Step 6: Final answer
    x = 6,576.83

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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.