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Finding the Fourth Proportional to 6,852.12, 10,273.20 and 4,072.20

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Solution

The fourth proportional to 6,852.12, 10,273.20 and 4,072.20 is: 6,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.12 : 10,273.20 = 4,072.20 : x
  2. Step 2: Convert to fraction form
    6,852.12/10,273.20 = 4,072.20/x
  3. Step 3: Cross multiply
    6,852.12x = 10,273.20 × 4,072.20
  4. Step 4: Simplify right side
    6,852.12x = 41,834,525.04
  5. Step 5: Solve for x
    x = 41,834,525.04/6,852.12
  6. Step 6: Final answer
    x = 6,105.34

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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.