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Finding the Fourth Proportional to 8,114.44, 12,166.99 and 3,178.30

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Solution

The fourth proportional to 8,114.44, 12,166.99 and 3,178.30 is: 4,765.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.44 : 12,166.99 = 3,178.30 : x
  2. Step 2: Convert to fraction form
    8,114.44/12,166.99 = 3,178.30/x
  3. Step 3: Cross multiply
    8,114.44x = 12,166.99 × 3,178.30
  4. Step 4: Simplify right side
    8,114.44x = 38,670,344.32
  5. Step 5: Solve for x
    x = 38,670,344.32/8,114.44
  6. Step 6: Final answer
    x = 4,765.62

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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.