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Finding the Fourth Proportional to 11,719.17, 16,172.44 and 6,413.99

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Solution

The fourth proportional to 11,719.17, 16,172.44 and 6,413.99 is: 8,851.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.17 : 16,172.44 = 6,413.99 : x
  2. Step 2: Convert to fraction form
    11,719.17/16,172.44 = 6,413.99/x
  3. Step 3: Cross multiply
    11,719.17x = 16,172.44 × 6,413.99
  4. Step 4: Simplify right side
    11,719.17x = 103,729,771.54
  5. Step 5: Solve for x
    x = 103,729,771.54/11,719.17
  6. Step 6: Final answer
    x = 8,851.29

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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.