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Finding the Fourth Proportional to 7,522.92, 11,278.26 and 3,143.64

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Solution

The fourth proportional to 7,522.92, 11,278.26 and 3,143.64 is: 4,712.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,522.92 : 11,278.26 = 3,143.64 : x
  2. Step 2: Convert to fraction form
    7,522.92/11,278.26 = 3,143.64/x
  3. Step 3: Cross multiply
    7,522.92x = 11,278.26 × 3,143.64
  4. Step 4: Simplify right side
    7,522.92x = 35,454,789.27
  5. Step 5: Solve for x
    x = 35,454,789.27/7,522.92
  6. Step 6: Final answer
    x = 4,712.90

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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.