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Finding the Fourth Proportional to 8,311.50, 11,471.49 and 4,954.86

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Solution

The fourth proportional to 8,311.50, 11,471.49 and 4,954.86 is: 6,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.50 : 11,471.49 = 4,954.86 : x
  2. Step 2: Convert to fraction form
    8,311.50/11,471.49 = 4,954.86/x
  3. Step 3: Cross multiply
    8,311.50x = 11,471.49 × 4,954.86
  4. Step 4: Simplify right side
    8,311.50x = 56,839,626.94
  5. Step 5: Solve for x
    x = 56,839,626.94/8,311.50
  6. Step 6: Final answer
    x = 6,838.67

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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.