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Finding the Fourth Proportional to 11,388.36, 17,088.94 and 6,194.60

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Solution

The fourth proportional to 11,388.36, 17,088.94 and 6,194.60 is: 9,295.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388.36 : 17,088.94 = 6,194.60 : x
  2. Step 2: Convert to fraction form
    11,388.36/17,088.94 = 6,194.60/x
  3. Step 3: Cross multiply
    11,388.36x = 17,088.94 × 6,194.60
  4. Step 4: Simplify right side
    11,388.36x = 105,859,147.72
  5. Step 5: Solve for x
    x = 105,859,147.72/11,388.36
  6. Step 6: Final answer
    x = 9,295.38

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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.