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Finding the Fourth Proportional to 7,243.56, 10,857.57 and 4,743.78

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Solution

The fourth proportional to 7,243.56, 10,857.57 and 4,743.78 is: 7,110.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,243.56 : 10,857.57 = 4,743.78 : x
  2. Step 2: Convert to fraction form
    7,243.56/10,857.57 = 4,743.78/x
  3. Step 3: Cross multiply
    7,243.56x = 10,857.57 × 4,743.78
  4. Step 4: Simplify right side
    7,243.56x = 51,505,923.41
  5. Step 5: Solve for x
    x = 51,505,923.41/7,243.56
  6. Step 6: Final answer
    x = 7,110.58

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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.