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Finding the Fourth Proportional to 7,894.89, 11,833.83 and 3,999.60

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Solution

The fourth proportional to 7,894.89, 11,833.83 and 3,999.60 is: 5,995.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.89 : 11,833.83 = 3,999.60 : x
  2. Step 2: Convert to fraction form
    7,894.89/11,833.83 = 3,999.60/x
  3. Step 3: Cross multiply
    7,894.89x = 11,833.83 × 3,999.60
  4. Step 4: Simplify right side
    7,894.89x = 47,330,586.47
  5. Step 5: Solve for x
    x = 47,330,586.47/7,894.89
  6. Step 6: Final answer
    x = 5,995.09

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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.