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Finding the Fourth Proportional to 8,311.46, 11,471.30 and 4,954.49

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Solution

The fourth proportional to 8,311.46, 11,471.30 and 4,954.49 is: 6,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.46 : 11,471.30 = 4,954.49 : x
  2. Step 2: Convert to fraction form
    8,311.46/11,471.30 = 4,954.49/x
  3. Step 3: Cross multiply
    8,311.46x = 11,471.30 × 4,954.49
  4. Step 4: Simplify right side
    8,311.46x = 56,834,359.01
  5. Step 5: Solve for x
    x = 56,834,359.01/8,311.46
  6. Step 6: Final answer
    x = 6,838.07

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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.