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Finding the Fourth Proportional to 11,894.49, 16,413.75 and 6,588.99

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Solution

The fourth proportional to 11,894.49, 16,413.75 and 6,588.99 is: 9,092.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.49 : 16,413.75 = 6,588.99 : x
  2. Step 2: Convert to fraction form
    11,894.49/16,413.75 = 6,588.99/x
  3. Step 3: Cross multiply
    11,894.49x = 16,413.75 × 6,588.99
  4. Step 4: Simplify right side
    11,894.49x = 108,150,034.61
  5. Step 5: Solve for x
    x = 108,150,034.61/11,894.49
  6. Step 6: Final answer
    x = 9,092.45

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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.