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Finding the Fourth Proportional to 6,815.96, 10,219.03 and 2,652.46

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Solution

The fourth proportional to 6,815.96, 10,219.03 and 2,652.46 is: 3,976.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.96 : 10,219.03 = 2,652.46 : x
  2. Step 2: Convert to fraction form
    6,815.96/10,219.03 = 2,652.46/x
  3. Step 3: Cross multiply
    6,815.96x = 10,219.03 × 2,652.46
  4. Step 4: Simplify right side
    6,815.96x = 27,105,536.14
  5. Step 5: Solve for x
    x = 27,105,536.14/6,815.96
  6. Step 6: Final answer
    x = 3,976.78

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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.