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Finding the Fourth Proportional to 10,168.67, 14,033.63 and 5,692.37

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Solution

The fourth proportional to 10,168.67, 14,033.63 and 5,692.37 is: 7,855.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.67 : 14,033.63 = 5,692.37 : x
  2. Step 2: Convert to fraction form
    10,168.67/14,033.63 = 5,692.37/x
  3. Step 3: Cross multiply
    10,168.67x = 14,033.63 × 5,692.37
  4. Step 4: Simplify right side
    10,168.67x = 79,884,558.47
  5. Step 5: Solve for x
    x = 79,884,558.47/10,168.67
  6. Step 6: Final answer
    x = 7,855.95

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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.