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Finding the Fourth Proportional to 7,240.02, 9,993.59 and 4,255.78

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Solution

The fourth proportional to 7,240.02, 9,993.59 and 4,255.78 is: 5,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.02 : 9,993.59 = 4,255.78 : x
  2. Step 2: Convert to fraction form
    7,240.02/9,993.59 = 4,255.78/x
  3. Step 3: Cross multiply
    7,240.02x = 9,993.59 × 4,255.78
  4. Step 4: Simplify right side
    7,240.02x = 42,530,520.45
  5. Step 5: Solve for x
    x = 42,530,520.45/7,240.02
  6. Step 6: Final answer
    x = 5,874.37

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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.