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Finding the Fourth Proportional to 10,571, 14,588.44 and 5,855.30

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Solution

The fourth proportional to 10,571, 14,588.44 and 5,855.30 is: 8,080.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571 : 14,588.44 = 5,855.30 : x
  2. Step 2: Convert to fraction form
    10,571/14,588.44 = 5,855.30/x
  3. Step 3: Cross multiply
    10,571x = 14,588.44 × 5,855.30
  4. Step 4: Simplify right side
    10,571x = 85,419,692.73
  5. Step 5: Solve for x
    x = 85,419,692.73/10,571
  6. Step 6: Final answer
    x = 8,080.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.