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Finding the Fourth Proportional to 12,078.81, 18,116.27 and 3,311.68

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Solution

The fourth proportional to 12,078.81, 18,116.27 and 3,311.68 is: 4,966.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,078.81 : 18,116.27 = 3,311.68 : x
  2. Step 2: Convert to fraction form
    12,078.81/18,116.27 = 3,311.68/x
  3. Step 3: Cross multiply
    12,078.81x = 18,116.27 × 3,311.68
  4. Step 4: Simplify right side
    12,078.81x = 59,995,289.03
  5. Step 5: Solve for x
    x = 59,995,289.03/12,078.81
  6. Step 6: Final answer
    x = 4,966.99

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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.