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Finding the Fourth Proportional to 7,240.57, 10,863.06 and 3,542.27

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Solution

The fourth proportional to 7,240.57, 10,863.06 and 3,542.27 is: 5,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.57 : 10,863.06 = 3,542.27 : x
  2. Step 2: Convert to fraction form
    7,240.57/10,863.06 = 3,542.27/x
  3. Step 3: Cross multiply
    7,240.57x = 10,863.06 × 3,542.27
  4. Step 4: Simplify right side
    7,240.57x = 38,479,823.95
  5. Step 5: Solve for x
    x = 38,479,823.95/7,240.57
  6. Step 6: Final answer
    x = 5,314.48

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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.