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Finding the Fourth Proportional to 8,311.26, 11,471.58 and 6,419.95

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Solution

The fourth proportional to 8,311.26, 11,471.58 and 6,419.95 is: 8,861.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.26 : 11,471.58 = 6,419.95 : x
  2. Step 2: Convert to fraction form
    8,311.26/11,471.58 = 6,419.95/x
  3. Step 3: Cross multiply
    8,311.26x = 11,471.58 × 6,419.95
  4. Step 4: Simplify right side
    8,311.26x = 73,646,970.02
  5. Step 5: Solve for x
    x = 73,646,970.02/8,311.26
  6. Step 6: Final answer
    x = 8,861.11

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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.