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Finding the Fourth Proportional to 10,604.12, 15,906.38 and 3,208.55

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Solution

The fourth proportional to 10,604.12, 15,906.38 and 3,208.55 is: 4,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.12 : 15,906.38 = 3,208.55 : x
  2. Step 2: Convert to fraction form
    10,604.12/15,906.38 = 3,208.55/x
  3. Step 3: Cross multiply
    10,604.12x = 15,906.38 × 3,208.55
  4. Step 4: Simplify right side
    10,604.12x = 51,036,319.97
  5. Step 5: Solve for x
    x = 51,036,319.97/10,604.12
  6. Step 6: Final answer
    x = 4,812.88

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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.