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Finding the Fourth Proportional to 8,571.38, 12,842.38 and 5,754.94

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Solution

The fourth proportional to 8,571.38, 12,842.38 and 5,754.94 is: 8,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.38 : 12,842.38 = 5,754.94 : x
  2. Step 2: Convert to fraction form
    8,571.38/12,842.38 = 5,754.94/x
  3. Step 3: Cross multiply
    8,571.38x = 12,842.38 × 5,754.94
  4. Step 4: Simplify right side
    8,571.38x = 73,907,126.36
  5. Step 5: Solve for x
    x = 73,907,126.36/8,571.38
  6. Step 6: Final answer
    x = 8,622.55

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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.