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Finding the Fourth Proportional to 10,168, 14,033.04 and 5,692.48

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Solution

The fourth proportional to 10,168, 14,033.04 and 5,692.48 is: 7,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168 : 14,033.04 = 5,692.48 : x
  2. Step 2: Convert to fraction form
    10,168/14,033.04 = 5,692.48/x
  3. Step 3: Cross multiply
    10,168x = 14,033.04 × 5,692.48
  4. Step 4: Simplify right side
    10,168x = 79,882,799.54
  5. Step 5: Solve for x
    x = 79,882,799.54/10,168
  6. Step 6: Final answer
    x = 7,856.29

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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.