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Finding the Fourth Proportional to 6,705.37, 10,057.88 and 3,197.85

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Solution

The fourth proportional to 6,705.37, 10,057.88 and 3,197.85 is: 4,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.37 : 10,057.88 = 3,197.85 : x
  2. Step 2: Convert to fraction form
    6,705.37/10,057.88 = 3,197.85/x
  3. Step 3: Cross multiply
    6,705.37x = 10,057.88 × 3,197.85
  4. Step 4: Simplify right side
    6,705.37x = 32,163,575.57
  5. Step 5: Solve for x
    x = 32,163,575.57/6,705.37
  6. Step 6: Final answer
    x = 4,796.69

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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.