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Finding the Fourth Proportional to 7,983, 11,979.36 and 3,366

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Solution

The fourth proportional to 7,983, 11,979.36 and 3,366 is: 5,051.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983 : 11,979.36 = 3,366 : x
  2. Step 2: Convert to fraction form
    7,983/11,979.36 = 3,366/x
  3. Step 3: Cross multiply
    7,983x = 11,979.36 × 3,366
  4. Step 4: Simplify right side
    7,983x = 40,322,525.76
  5. Step 5: Solve for x
    x = 40,322,525.76/7,983
  6. Step 6: Final answer
    x = 5,051.05

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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.