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Finding the Fourth Proportional to 7,204, 10,807.83 and 2,009.88

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Solution

The fourth proportional to 7,204, 10,807.83 and 2,009.88 is: 3,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204 : 10,807.83 = 2,009.88 : x
  2. Step 2: Convert to fraction form
    7,204/10,807.83 = 2,009.88/x
  3. Step 3: Cross multiply
    7,204x = 10,807.83 × 2,009.88
  4. Step 4: Simplify right side
    7,204x = 21,722,441.36
  5. Step 5: Solve for x
    x = 21,722,441.36/7,204
  6. Step 6: Final answer
    x = 3,015.33

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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.