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Finding the Fourth Proportional to 12,056.78, 18,082.80 and 3,289.61

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Solution

The fourth proportional to 12,056.78, 18,082.80 and 3,289.61 is: 4,933.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.78 : 18,082.80 = 3,289.61 : x
  2. Step 2: Convert to fraction form
    12,056.78/18,082.80 = 3,289.61/x
  3. Step 3: Cross multiply
    12,056.78x = 18,082.80 × 3,289.61
  4. Step 4: Simplify right side
    12,056.78x = 59,485,269.29
  5. Step 5: Solve for x
    x = 59,485,269.29/12,056.78
  6. Step 6: Final answer
    x = 4,933.76

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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.