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Finding the Fourth Proportional to 7,471.46, 11,205.78 and 3,027.96

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Solution

The fourth proportional to 7,471.46, 11,205.78 and 3,027.96 is: 4,541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.46 : 11,205.78 = 3,027.96 : x
  2. Step 2: Convert to fraction form
    7,471.46/11,205.78 = 3,027.96/x
  3. Step 3: Cross multiply
    7,471.46x = 11,205.78 × 3,027.96
  4. Step 4: Simplify right side
    7,471.46x = 33,930,653.61
  5. Step 5: Solve for x
    x = 33,930,653.61/7,471.46
  6. Step 6: Final answer
    x = 4,541.37

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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.