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Finding the Fourth Proportional to 8,093.36, 11,166 and 6,205.52

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Solution

The fourth proportional to 8,093.36, 11,166 and 6,205.52 is: 8,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,093.36 : 11,166 = 6,205.52 : x
  2. Step 2: Convert to fraction form
    8,093.36/11,166 = 6,205.52/x
  3. Step 3: Cross multiply
    8,093.36x = 11,166 × 6,205.52
  4. Step 4: Simplify right side
    8,093.36x = 69,290,836.32
  5. Step 5: Solve for x
    x = 69,290,836.32/8,093.36
  6. Step 6: Final answer
    x = 8,561.44

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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.