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Finding the Fourth Proportional to 6,800.63, 10,202.40 and 2,120.54

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Solution

The fourth proportional to 6,800.63, 10,202.40 and 2,120.54 is: 3,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,800.63 : 10,202.40 = 2,120.54 : x
  2. Step 2: Convert to fraction form
    6,800.63/10,202.40 = 2,120.54/x
  3. Step 3: Cross multiply
    6,800.63x = 10,202.40 × 2,120.54
  4. Step 4: Simplify right side
    6,800.63x = 21,634,546.28
  5. Step 5: Solve for x
    x = 21,634,546.28/6,800.63
  6. Step 6: Final answer
    x = 3,181.26

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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.