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Finding the Fourth Proportional to 6,923.96, 10,383.72 and 2,974.15

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Solution

The fourth proportional to 6,923.96, 10,383.72 and 2,974.15 is: 4,460.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923.96 : 10,383.72 = 2,974.15 : x
  2. Step 2: Convert to fraction form
    6,923.96/10,383.72 = 2,974.15/x
  3. Step 3: Cross multiply
    6,923.96x = 10,383.72 × 2,974.15
  4. Step 4: Simplify right side
    6,923.96x = 30,882,674.05
  5. Step 5: Solve for x
    x = 30,882,674.05/6,923.96
  6. Step 6: Final answer
    x = 4,460.26

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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.