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Finding the Fourth Proportional to 11,976, 17,959.67 and 5,051.04

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Solution

The fourth proportional to 11,976, 17,959.67 and 5,051.04 is: 7,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,976 : 17,959.67 = 5,051.04 : x
  2. Step 2: Convert to fraction form
    11,976/17,959.67 = 5,051.04/x
  3. Step 3: Cross multiply
    11,976x = 17,959.67 × 5,051.04
  4. Step 4: Simplify right side
    11,976x = 90,715,011.56
  5. Step 5: Solve for x
    x = 90,715,011.56/11,976
  6. Step 6: Final answer
    x = 7,574.73

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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.