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Finding the Fourth Proportional to 8,692.49, 11,993.60 and 5,865.10

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Solution

The fourth proportional to 8,692.49, 11,993.60 and 5,865.10 is: 8,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.49 : 11,993.60 = 5,865.10 : x
  2. Step 2: Convert to fraction form
    8,692.49/11,993.60 = 5,865.10/x
  3. Step 3: Cross multiply
    8,692.49x = 11,993.60 × 5,865.10
  4. Step 4: Simplify right side
    8,692.49x = 70,343,648.04
  5. Step 5: Solve for x
    x = 70,343,648.04/8,692.49
  6. Step 6: Final answer
    x = 8,092.46

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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.