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Finding the Fourth Proportional to 10,168.44, 14,033.07 and 5,692.47

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Solution

The fourth proportional to 10,168.44, 14,033.07 and 5,692.47 is: 7,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.44 : 14,033.07 = 5,692.47 : x
  2. Step 2: Convert to fraction form
    10,168.44/14,033.07 = 5,692.47/x
  3. Step 3: Cross multiply
    10,168.44x = 14,033.07 × 5,692.47
  4. Step 4: Simplify right side
    10,168.44x = 79,882,829.98
  5. Step 5: Solve for x
    x = 79,882,829.98/10,168.44
  6. Step 6: Final answer
    x = 7,855.96

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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.