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Finding the Fourth Proportional to 7,894.92, 11,843.01 and 4,608.35

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Solution

The fourth proportional to 7,894.92, 11,843.01 and 4,608.35 is: 6,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.92 : 11,843.01 = 4,608.35 : x
  2. Step 2: Convert to fraction form
    7,894.92/11,843.01 = 4,608.35/x
  3. Step 3: Cross multiply
    7,894.92x = 11,843.01 × 4,608.35
  4. Step 4: Simplify right side
    7,894.92x = 54,576,675.92
  5. Step 5: Solve for x
    x = 54,576,675.92/7,894.92
  6. Step 6: Final answer
    x = 6,912.89

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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.