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Finding the Fourth Proportional to 11,842.80, 16,342.74 and 6,537.24

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Solution

The fourth proportional to 11,842.80, 16,342.74 and 6,537.24 is: 9,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.80 : 16,342.74 = 6,537.24 : x
  2. Step 2: Convert to fraction form
    11,842.80/16,342.74 = 6,537.24/x
  3. Step 3: Cross multiply
    11,842.80x = 16,342.74 × 6,537.24
  4. Step 4: Simplify right side
    11,842.80x = 106,836,413.64
  5. Step 5: Solve for x
    x = 106,836,413.64/11,842.80
  6. Step 6: Final answer
    x = 9,021.21

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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.