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Finding the Fourth Proportional to 8,004.88, 11,999.20 and 3,838.80

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Solution

The fourth proportional to 8,004.88, 11,999.20 and 3,838.80 is: 5,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.88 : 11,999.20 = 3,838.80 : x
  2. Step 2: Convert to fraction form
    8,004.88/11,999.20 = 3,838.80/x
  3. Step 3: Cross multiply
    8,004.88x = 11,999.20 × 3,838.80
  4. Step 4: Simplify right side
    8,004.88x = 46,062,528.96
  5. Step 5: Solve for x
    x = 46,062,528.96/8,004.88
  6. Step 6: Final answer
    x = 5,754.31

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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.