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Finding the Fourth Proportional to 6,776.93, 10,165.11 and 1,846.57

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Solution

The fourth proportional to 6,776.93, 10,165.11 and 1,846.57 is: 2,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.93 : 10,165.11 = 1,846.57 : x
  2. Step 2: Convert to fraction form
    6,776.93/10,165.11 = 1,846.57/x
  3. Step 3: Cross multiply
    6,776.93x = 10,165.11 × 1,846.57
  4. Step 4: Simplify right side
    6,776.93x = 18,770,580.96
  5. Step 5: Solve for x
    x = 18,770,580.96/6,776.93
  6. Step 6: Final answer
    x = 2,769.78

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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.