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Finding the Fourth Proportional to 8,119.20, 12,169 and 3,730.64

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Solution

The fourth proportional to 8,119.20, 12,169 and 3,730.64 is: 5,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.20 : 12,169 = 3,730.64 : x
  2. Step 2: Convert to fraction form
    8,119.20/12,169 = 3,730.64/x
  3. Step 3: Cross multiply
    8,119.20x = 12,169 × 3,730.64
  4. Step 4: Simplify right side
    8,119.20x = 45,398,158.16
  5. Step 5: Solve for x
    x = 45,398,158.16/8,119.20
  6. Step 6: Final answer
    x = 5,591.46

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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.