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Finding the Fourth Proportional to 8,111.52, 11,194.74 and 4,969.80

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Solution

The fourth proportional to 8,111.52, 11,194.74 and 4,969.80 is: 6,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.52 : 11,194.74 = 4,969.80 : x
  2. Step 2: Convert to fraction form
    8,111.52/11,194.74 = 4,969.80/x
  3. Step 3: Cross multiply
    8,111.52x = 11,194.74 × 4,969.80
  4. Step 4: Simplify right side
    8,111.52x = 55,635,618.85
  5. Step 5: Solve for x
    x = 55,635,618.85/8,111.52
  6. Step 6: Final answer
    x = 6,858.84

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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.