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Finding the Fourth Proportional to 11,893.80, 16,413.68 and 6,857.18

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Solution

The fourth proportional to 11,893.80, 16,413.68 and 6,857.18 is: 9,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.80 : 16,413.68 = 6,857.18 : x
  2. Step 2: Convert to fraction form
    11,893.80/16,413.68 = 6,857.18/x
  3. Step 3: Cross multiply
    11,893.80x = 16,413.68 × 6,857.18
  4. Step 4: Simplify right side
    11,893.80x = 112,551,558.22
  5. Step 5: Solve for x
    x = 112,551,558.22/11,893.80
  6. Step 6: Final answer
    x = 9,463.04

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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.