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Finding the Fourth Proportional to 11,504.92, 17,255.71 and 3,185.52

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Solution

The fourth proportional to 11,504.92, 17,255.71 and 3,185.52 is: 4,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.92 : 17,255.71 = 3,185.52 : x
  2. Step 2: Convert to fraction form
    11,504.92/17,255.71 = 3,185.52/x
  3. Step 3: Cross multiply
    11,504.92x = 17,255.71 × 3,185.52
  4. Step 4: Simplify right side
    11,504.92x = 54,968,409.32
  5. Step 5: Solve for x
    x = 54,968,409.32/11,504.92
  6. Step 6: Final answer
    x = 4,777.82

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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.