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Finding the Fourth Proportional to 7,204.64, 10,806.03 and 1,940.09

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Solution

The fourth proportional to 7,204.64, 10,806.03 and 1,940.09 is: 2,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.64 : 10,806.03 = 1,940.09 : x
  2. Step 2: Convert to fraction form
    7,204.64/10,806.03 = 1,940.09/x
  3. Step 3: Cross multiply
    7,204.64x = 10,806.03 × 1,940.09
  4. Step 4: Simplify right side
    7,204.64x = 20,964,616.71
  5. Step 5: Solve for x
    x = 20,964,616.71/7,204.64
  6. Step 6: Final answer
    x = 2,909.88

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