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Finding the Fourth Proportional to 7,474.40, 11,211.60 and 2,542.40

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Solution

The fourth proportional to 7,474.40, 11,211.60 and 2,542.40 is: 3,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474.40 : 11,211.60 = 2,542.40 : x
  2. Step 2: Convert to fraction form
    7,474.40/11,211.60 = 2,542.40/x
  3. Step 3: Cross multiply
    7,474.40x = 11,211.60 × 2,542.40
  4. Step 4: Simplify right side
    7,474.40x = 28,504,371.84
  5. Step 5: Solve for x
    x = 28,504,371.84/7,474.40
  6. Step 6: Final answer
    x = 3,813.60

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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.