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Finding the Fourth Proportional to 11,719.01, 16,172.10 and 6,413.77

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Solution

The fourth proportional to 11,719.01, 16,172.10 and 6,413.77 is: 8,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.01 : 16,172.10 = 6,413.77 : x
  2. Step 2: Convert to fraction form
    11,719.01/16,172.10 = 6,413.77/x
  3. Step 3: Cross multiply
    11,719.01x = 16,172.10 × 6,413.77
  4. Step 4: Simplify right side
    11,719.01x = 103,724,150.03
  5. Step 5: Solve for x
    x = 103,724,150.03/11,719.01
  6. Step 6: Final answer
    x = 8,850.93

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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.