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Finding the Fourth Proportional to 7,249.42, 10,873.73 and 1,984.05

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Solution

The fourth proportional to 7,249.42, 10,873.73 and 1,984.05 is: 2,975.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,249.42 : 10,873.73 = 1,984.05 : x
  2. Step 2: Convert to fraction form
    7,249.42/10,873.73 = 1,984.05/x
  3. Step 3: Cross multiply
    7,249.42x = 10,873.73 × 1,984.05
  4. Step 4: Simplify right side
    7,249.42x = 21,574,010.89
  5. Step 5: Solve for x
    x = 21,574,010.89/7,249.42
  6. Step 6: Final answer
    x = 2,975.96

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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.