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Finding the Fourth Proportional to 6,776.39, 10,162.94 and 1,846.06

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Solution

The fourth proportional to 6,776.39, 10,162.94 and 1,846.06 is: 2,768.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.39 : 10,162.94 = 1,846.06 : x
  2. Step 2: Convert to fraction form
    6,776.39/10,162.94 = 1,846.06/x
  3. Step 3: Cross multiply
    6,776.39x = 10,162.94 × 1,846.06
  4. Step 4: Simplify right side
    6,776.39x = 18,761,362.38
  5. Step 5: Solve for x
    x = 18,761,362.38/6,776.39
  6. Step 6: Final answer
    x = 2,768.64

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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.