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Finding the Fourth Proportional to 7,471.94, 11,207.92 and 3,084.58

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Solution

The fourth proportional to 7,471.94, 11,207.92 and 3,084.58 is: 4,626.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.94 : 11,207.92 = 3,084.58 : x
  2. Step 2: Convert to fraction form
    7,471.94/11,207.92 = 3,084.58/x
  3. Step 3: Cross multiply
    7,471.94x = 11,207.92 × 3,084.58
  4. Step 4: Simplify right side
    7,471.94x = 34,571,725.87
  5. Step 5: Solve for x
    x = 34,571,725.87/7,471.94
  6. Step 6: Final answer
    x = 4,626.87

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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.