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Finding the Fourth Proportional to 7,872.93, 11,805.84 and 2,324.34

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Solution

The fourth proportional to 7,872.93, 11,805.84 and 2,324.34 is: 3,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.93 : 11,805.84 = 2,324.34 : x
  2. Step 2: Convert to fraction form
    7,872.93/11,805.84 = 2,324.34/x
  3. Step 3: Cross multiply
    7,872.93x = 11,805.84 × 2,324.34
  4. Step 4: Simplify right side
    7,872.93x = 27,440,786.15
  5. Step 5: Solve for x
    x = 27,440,786.15/7,872.93
  6. Step 6: Final answer
    x = 3,485.46

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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.