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Finding the Fourth Proportional to 8,091.50, 11,162.00 and 5,255.08

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Solution

The fourth proportional to 8,091.50, 11,162.00 and 5,255.08 is: 7,249.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.50 : 11,162.00 = 5,255.08 : x
  2. Step 2: Convert to fraction form
    8,091.50/11,162.00 = 5,255.08/x
  3. Step 3: Cross multiply
    8,091.50x = 11,162.00 × 5,255.08
  4. Step 4: Simplify right side
    8,091.50x = 58,657,188.19
  5. Step 5: Solve for x
    x = 58,657,188.19/8,091.50
  6. Step 6: Final answer
    x = 7,249.24

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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.