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Finding the Fourth Proportional to 7,257.87, 10,015.22 and 4,027.77

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Solution

The fourth proportional to 7,257.87, 10,015.22 and 4,027.77 is: 5,557.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.87 : 10,015.22 = 4,027.77 : x
  2. Step 2: Convert to fraction form
    7,257.87/10,015.22 = 4,027.77/x
  3. Step 3: Cross multiply
    7,257.87x = 10,015.22 × 4,027.77
  4. Step 4: Simplify right side
    7,257.87x = 40,339,012.73
  5. Step 5: Solve for x
    x = 40,339,012.73/7,257.87
  6. Step 6: Final answer
    x = 5,557.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.