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Finding the Fourth Proportional to 10,571.50, 14,589.13 and 5,855.80

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Solution

The fourth proportional to 10,571.50, 14,589.13 and 5,855.80 is: 8,081.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.50 : 14,589.13 = 5,855.80 : x
  2. Step 2: Convert to fraction form
    10,571.50/14,589.13 = 5,855.80/x
  3. Step 3: Cross multiply
    10,571.50x = 14,589.13 × 5,855.80
  4. Step 4: Simplify right side
    10,571.50x = 85,431,027.45
  5. Step 5: Solve for x
    x = 85,431,027.45/10,571.50
  6. Step 6: Final answer
    x = 8,081.26

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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.