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Finding the Fourth Proportional to 8,002.88, 11,997.06 and 2,805.92

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Solution

The fourth proportional to 8,002.88, 11,997.06 and 2,805.92 is: 4,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.88 : 11,997.06 = 2,805.92 : x
  2. Step 2: Convert to fraction form
    8,002.88/11,997.06 = 2,805.92/x
  3. Step 3: Cross multiply
    8,002.88x = 11,997.06 × 2,805.92
  4. Step 4: Simplify right side
    8,002.88x = 33,662,790.60
  5. Step 5: Solve for x
    x = 33,662,790.60/8,002.88
  6. Step 6: Final answer
    x = 4,206.33

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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.