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Finding the Fourth Proportional to 8,311.41, 11,469.75 and 4,774.62

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Solution

The fourth proportional to 8,311.41, 11,469.75 and 4,774.62 is: 6,588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.41 : 11,469.75 = 4,774.62 : x
  2. Step 2: Convert to fraction form
    8,311.41/11,469.75 = 4,774.62/x
  3. Step 3: Cross multiply
    8,311.41x = 11,469.75 × 4,774.62
  4. Step 4: Simplify right side
    8,311.41x = 54,763,697.75
  5. Step 5: Solve for x
    x = 54,763,697.75/8,311.41
  6. Step 6: Final answer
    x = 6,588.98

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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.