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Finding the Fourth Proportional to 8,311.21, 11,469.39 and 4,774.43

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Solution

The fourth proportional to 8,311.21, 11,469.39 and 4,774.43 is: 6,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.21 : 11,469.39 = 4,774.43 : x
  2. Step 2: Convert to fraction form
    8,311.21/11,469.39 = 4,774.43/x
  3. Step 3: Cross multiply
    8,311.21x = 11,469.39 × 4,774.43
  4. Step 4: Simplify right side
    8,311.21x = 54,759,799.70
  5. Step 5: Solve for x
    x = 54,759,799.70/8,311.21
  6. Step 6: Final answer
    x = 6,588.67

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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.