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Finding the Fourth Proportional to 11,893.77, 16,413.84 and 7,177.14

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Solution

The fourth proportional to 11,893.77, 16,413.84 and 7,177.14 is: 9,904.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.77 : 16,413.84 = 7,177.14 : x
  2. Step 2: Convert to fraction form
    11,893.77/16,413.84 = 7,177.14/x
  3. Step 3: Cross multiply
    11,893.77x = 16,413.84 × 7,177.14
  4. Step 4: Simplify right side
    11,893.77x = 117,804,427.62
  5. Step 5: Solve for x
    x = 117,804,427.62/11,893.77
  6. Step 6: Final answer
    x = 9,904.72

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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.