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Finding the Fourth Proportional to 6,729.17, 10,085.84 and 3,027.06

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Solution

The fourth proportional to 6,729.17, 10,085.84 and 3,027.06 is: 4,537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.17 : 10,085.84 = 3,027.06 : x
  2. Step 2: Convert to fraction form
    6,729.17/10,085.84 = 3,027.06/x
  3. Step 3: Cross multiply
    6,729.17x = 10,085.84 × 3,027.06
  4. Step 4: Simplify right side
    6,729.17x = 30,530,427.70
  5. Step 5: Solve for x
    x = 30,530,427.70/6,729.17
  6. Step 6: Final answer
    x = 4,537.03

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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.