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Finding the Fourth Proportional to 12,054, 18,082.08 and 3,846

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Solution

The fourth proportional to 12,054, 18,082.08 and 3,846 is: 5,769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054 : 18,082.08 = 3,846 : x
  2. Step 2: Convert to fraction form
    12,054/18,082.08 = 3,846/x
  3. Step 3: Cross multiply
    12,054x = 18,082.08 × 3,846
  4. Step 4: Simplify right side
    12,054x = 69,543,679.68
  5. Step 5: Solve for x
    x = 69,543,679.68/12,054
  6. Step 6: Final answer
    x = 5,769.34

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Why These Related Problems?

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