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Finding the Fourth Proportional to 10,571.63, 14,589.09 and 6,034.23

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Solution

The fourth proportional to 10,571.63, 14,589.09 and 6,034.23 is: 8,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.63 : 14,589.09 = 6,034.23 : x
  2. Step 2: Convert to fraction form
    10,571.63/14,589.09 = 6,034.23/x
  3. Step 3: Cross multiply
    10,571.63x = 14,589.09 × 6,034.23
  4. Step 4: Simplify right side
    10,571.63x = 88,033,847.21
  5. Step 5: Solve for x
    x = 88,033,847.21/10,571.63
  6. Step 6: Final answer
    x = 8,327.37

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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.