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Finding the Fourth Proportional to 8,311.40, 11,471.14 and 6,318.76

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Solution

The fourth proportional to 8,311.40, 11,471.14 and 6,318.76 is: 8,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.40 : 11,471.14 = 6,318.76 : x
  2. Step 2: Convert to fraction form
    8,311.40/11,471.14 = 6,318.76/x
  3. Step 3: Cross multiply
    8,311.40x = 11,471.14 × 6,318.76
  4. Step 4: Simplify right side
    8,311.40x = 72,483,380.59
  5. Step 5: Solve for x
    x = 72,483,380.59/8,311.40
  6. Step 6: Final answer
    x = 8,720.96

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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.