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Finding the Fourth Proportional to 10,601.75, 15,902.69 and 3,206.18

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Solution

The fourth proportional to 10,601.75, 15,902.69 and 3,206.18 is: 4,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.75 : 15,902.69 = 3,206.18 : x
  2. Step 2: Convert to fraction form
    10,601.75/15,902.69 = 3,206.18/x
  3. Step 3: Cross multiply
    10,601.75x = 15,902.69 × 3,206.18
  4. Step 4: Simplify right side
    10,601.75x = 50,986,886.62
  5. Step 5: Solve for x
    x = 50,986,886.62/10,601.75
  6. Step 6: Final answer
    x = 4,809.29

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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.