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Finding the Fourth Proportional to 11,893.98, 16,413.68 and 6,589.13

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Solution

The fourth proportional to 11,893.98, 16,413.68 and 6,589.13 is: 9,093.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.98 : 16,413.68 = 6,589.13 : x
  2. Step 2: Convert to fraction form
    11,893.98/16,413.68 = 6,589.13/x
  3. Step 3: Cross multiply
    11,893.98x = 16,413.68 × 6,589.13
  4. Step 4: Simplify right side
    11,893.98x = 108,151,928.81
  5. Step 5: Solve for x
    x = 108,151,928.81/11,893.98
  6. Step 6: Final answer
    x = 9,093.00

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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.