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Finding the Fourth Proportional to 6,776.39, 10,164.78 and 1,846.13

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Solution

The fourth proportional to 6,776.39, 10,164.78 and 1,846.13 is: 2,769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.39 : 10,164.78 = 1,846.13 : x
  2. Step 2: Convert to fraction form
    6,776.39/10,164.78 = 1,846.13/x
  3. Step 3: Cross multiply
    6,776.39x = 10,164.78 × 1,846.13
  4. Step 4: Simplify right side
    6,776.39x = 18,765,505.30
  5. Step 5: Solve for x
    x = 18,765,505.30/6,776.39
  6. Step 6: Final answer
    x = 2,769.25

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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.