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Finding the Fourth Proportional to 8,311.60, 11,474.12 and 6,515.92

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Solution

The fourth proportional to 8,311.60, 11,474.12 and 6,515.92 is: 8,995.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.60 : 11,474.12 = 6,515.92 : x
  2. Step 2: Convert to fraction form
    8,311.60/11,474.12 = 6,515.92/x
  3. Step 3: Cross multiply
    8,311.60x = 11,474.12 × 6,515.92
  4. Step 4: Simplify right side
    8,311.60x = 74,764,447.99
  5. Step 5: Solve for x
    x = 74,764,447.99/8,311.60
  6. Step 6: Final answer
    x = 8,995.19

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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.