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Finding the Fourth Proportional to 6,776.36, 10,164.74 and 1,846.10

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Solution

The fourth proportional to 6,776.36, 10,164.74 and 1,846.10 is: 2,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.36 : 10,164.74 = 1,846.10 : x
  2. Step 2: Convert to fraction form
    6,776.36/10,164.74 = 1,846.10/x
  3. Step 3: Cross multiply
    6,776.36x = 10,164.74 × 1,846.10
  4. Step 4: Simplify right side
    6,776.36x = 18,765,066.46
  5. Step 5: Solve for x
    x = 18,765,066.46/6,776.36
  6. Step 6: Final answer
    x = 2,769.19

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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.