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Finding the Fourth Proportional to 6,855.85, 10,254.05 and 4,037.97

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Solution

The fourth proportional to 6,855.85, 10,254.05 and 4,037.97 is: 6,039.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.85 : 10,254.05 = 4,037.97 : x
  2. Step 2: Convert to fraction form
    6,855.85/10,254.05 = 4,037.97/x
  3. Step 3: Cross multiply
    6,855.85x = 10,254.05 × 4,037.97
  4. Step 4: Simplify right side
    6,855.85x = 41,405,546.28
  5. Step 5: Solve for x
    x = 41,405,546.28/6,855.85
  6. Step 6: Final answer
    x = 6,039.45

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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.