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Finding the Fourth Proportional to 11,893.32, 16,413.71 and 6,588.63

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Solution

The fourth proportional to 11,893.32, 16,413.71 and 6,588.63 is: 9,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.32 : 16,413.71 = 6,588.63 : x
  2. Step 2: Convert to fraction form
    11,893.32/16,413.71 = 6,588.63/x
  3. Step 3: Cross multiply
    11,893.32x = 16,413.71 × 6,588.63
  4. Step 4: Simplify right side
    11,893.32x = 108,143,829.17
  5. Step 5: Solve for x
    x = 108,143,829.17/11,893.32
  6. Step 6: Final answer
    x = 9,092.82

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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.