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Finding the Fourth Proportional to 7,571.74, 11,349.15 and 3,863.02

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Solution

The fourth proportional to 7,571.74, 11,349.15 and 3,863.02 is: 5,790.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.74 : 11,349.15 = 3,863.02 : x
  2. Step 2: Convert to fraction form
    7,571.74/11,349.15 = 3,863.02/x
  3. Step 3: Cross multiply
    7,571.74x = 11,349.15 × 3,863.02
  4. Step 4: Simplify right side
    7,571.74x = 43,841,993.43
  5. Step 5: Solve for x
    x = 43,841,993.43/7,571.74
  6. Step 6: Final answer
    x = 5,790.21

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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.