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Finding the Fourth Proportional to 6,667.31, 10,004.21 and 4,471.71

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Solution

The fourth proportional to 6,667.31, 10,004.21 and 4,471.71 is: 6,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.31 : 10,004.21 = 4,471.71 : x
  2. Step 2: Convert to fraction form
    6,667.31/10,004.21 = 4,471.71/x
  3. Step 3: Cross multiply
    6,667.31x = 10,004.21 × 4,471.71
  4. Step 4: Simplify right side
    6,667.31x = 44,735,882.79
  5. Step 5: Solve for x
    x = 44,735,882.79/6,667.31
  6. Step 6: Final answer
    x = 6,709.73

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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.