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Finding the Fourth Proportional to 11,893.31, 16,413.23 and 6,588.02

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Solution

The fourth proportional to 11,893.31, 16,413.23 and 6,588.02 is: 9,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.31 : 16,413.23 = 6,588.02 : x
  2. Step 2: Convert to fraction form
    11,893.31/16,413.23 = 6,588.02/x
  3. Step 3: Cross multiply
    11,893.31x = 16,413.23 × 6,588.02
  4. Step 4: Simplify right side
    11,893.31x = 108,130,687.50
  5. Step 5: Solve for x
    x = 108,130,687.50/11,893.31
  6. Step 6: Final answer
    x = 9,091.72

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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.