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Finding the Fourth Proportional to 8,165.88, 11,253.06 and 5,923.80

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Solution

The fourth proportional to 8,165.88, 11,253.06 and 5,923.80 is: 8,163.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.88 : 11,253.06 = 5,923.80 : x
  2. Step 2: Convert to fraction form
    8,165.88/11,253.06 = 5,923.80/x
  3. Step 3: Cross multiply
    8,165.88x = 11,253.06 × 5,923.80
  4. Step 4: Simplify right side
    8,165.88x = 66,660,876.83
  5. Step 5: Solve for x
    x = 66,660,876.83/8,165.88
  6. Step 6: Final answer
    x = 8,163.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.