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Finding the Fourth Proportional to 6,776.96, 10,161.10 and 3,259.96

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Solution

The fourth proportional to 6,776.96, 10,161.10 and 3,259.96 is: 4,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.96 : 10,161.10 = 3,259.96 : x
  2. Step 2: Convert to fraction form
    6,776.96/10,161.10 = 3,259.96/x
  3. Step 3: Cross multiply
    6,776.96x = 10,161.10 × 3,259.96
  4. Step 4: Simplify right side
    6,776.96x = 33,124,797.05
  5. Step 5: Solve for x
    x = 33,124,797.05/6,776.96
  6. Step 6: Final answer
    x = 4,887.86

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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.