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Finding the Fourth Proportional to 10,311.71, 15,471.81 and 5,384.88

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Solution

The fourth proportional to 10,311.71, 15,471.81 and 5,384.88 is: 8,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.71 : 15,471.81 = 5,384.88 : x
  2. Step 2: Convert to fraction form
    10,311.71/15,471.81 = 5,384.88/x
  3. Step 3: Cross multiply
    10,311.71x = 15,471.81 × 5,384.88
  4. Step 4: Simplify right side
    10,311.71x = 83,313,840.23
  5. Step 5: Solve for x
    x = 83,313,840.23/10,311.71
  6. Step 6: Final answer
    x = 8,079.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.