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Finding the Fourth Proportional to 8,692.47, 11,997.68 and 5,157.73

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Solution

The fourth proportional to 8,692.47, 11,997.68 and 5,157.73 is: 7,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.47 : 11,997.68 = 5,157.73 : x
  2. Step 2: Convert to fraction form
    8,692.47/11,997.68 = 5,157.73/x
  3. Step 3: Cross multiply
    8,692.47x = 11,997.68 × 5,157.73
  4. Step 4: Simplify right side
    8,692.47x = 61,880,794.07
  5. Step 5: Solve for x
    x = 61,880,794.07/8,692.47
  6. Step 6: Final answer
    x = 7,118.90

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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.