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Finding the Fourth Proportional to 7,202.81, 10,806.04 and 2,008.69

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Solution

The fourth proportional to 7,202.81, 10,806.04 and 2,008.69 is: 3,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.81 : 10,806.04 = 2,008.69 : x
  2. Step 2: Convert to fraction form
    7,202.81/10,806.04 = 2,008.69/x
  3. Step 3: Cross multiply
    7,202.81x = 10,806.04 × 2,008.69
  4. Step 4: Simplify right side
    7,202.81x = 21,705,959.98
  5. Step 5: Solve for x
    x = 21,705,959.98/7,202.81
  6. Step 6: Final answer
    x = 3,013.54

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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.