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Finding the Fourth Proportional to 8,129.60, 12,184.72 and 3,910.20

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Solution

The fourth proportional to 8,129.60, 12,184.72 and 3,910.20 is: 5,860.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.60 : 12,184.72 = 3,910.20 : x
  2. Step 2: Convert to fraction form
    8,129.60/12,184.72 = 3,910.20/x
  3. Step 3: Cross multiply
    8,129.60x = 12,184.72 × 3,910.20
  4. Step 4: Simplify right side
    8,129.60x = 47,644,692.14
  5. Step 5: Solve for x
    x = 47,644,692.14/8,129.60
  6. Step 6: Final answer
    x = 5,860.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.