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Finding the Fourth Proportional to 7,202.11, 10,802.80 and 2,820.37

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Solution

The fourth proportional to 7,202.11, 10,802.80 and 2,820.37 is: 4,230.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.11 : 10,802.80 = 2,820.37 : x
  2. Step 2: Convert to fraction form
    7,202.11/10,802.80 = 2,820.37/x
  3. Step 3: Cross multiply
    7,202.11x = 10,802.80 × 2,820.37
  4. Step 4: Simplify right side
    7,202.11x = 30,467,893.04
  5. Step 5: Solve for x
    x = 30,467,893.04/7,202.11
  6. Step 6: Final answer
    x = 4,230.41

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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.