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Finding the Fourth Proportional to 8,311.64, 11,471.49 and 7,937.96

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Solution

The fourth proportional to 8,311.64, 11,471.49 and 7,937.96 is: 10,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.64 : 11,471.49 = 7,937.96 : x
  2. Step 2: Convert to fraction form
    8,311.64/11,471.49 = 7,937.96/x
  3. Step 3: Cross multiply
    8,311.64x = 11,471.49 × 7,937.96
  4. Step 4: Simplify right side
    8,311.64x = 91,060,228.76
  5. Step 5: Solve for x
    x = 91,060,228.76/8,311.64
  6. Step 6: Final answer
    x = 10,955.75

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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.