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Finding the Fourth Proportional to 7,474.68, 11,211.42 and 1,928.22

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Solution

The fourth proportional to 7,474.68, 11,211.42 and 1,928.22 is: 2,892.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.68 : 11,211.42 = 1,928.22 : x
  2. Step 2: Convert to fraction form
    7,474.68/11,211.42 = 1,928.22/x
  3. Step 3: Cross multiply
    7,474.68x = 11,211.42 × 1,928.22
  4. Step 4: Simplify right side
    7,474.68x = 21,618,084.27
  5. Step 5: Solve for x
    x = 21,618,084.27/7,474.68
  6. Step 6: Final answer
    x = 2,892.18

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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.