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Finding the Fourth Proportional to 11,980.70, 17,973.21 and 4,082.78

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Solution

The fourth proportional to 11,980.70, 17,973.21 and 4,082.78 is: 6,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.70 : 17,973.21 = 4,082.78 : x
  2. Step 2: Convert to fraction form
    11,980.70/17,973.21 = 4,082.78/x
  3. Step 3: Cross multiply
    11,980.70x = 17,973.21 × 4,082.78
  4. Step 4: Simplify right side
    11,980.70x = 73,380,662.32
  5. Step 5: Solve for x
    x = 73,380,662.32/11,980.70
  6. Step 6: Final answer
    x = 6,124.91

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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.