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Finding the Fourth Proportional to 11,842.22, 16,342.39 and 6,537.04

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Solution

The fourth proportional to 11,842.22, 16,342.39 and 6,537.04 is: 9,021.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.22 : 16,342.39 = 6,537.04 : x
  2. Step 2: Convert to fraction form
    11,842.22/16,342.39 = 6,537.04/x
  3. Step 3: Cross multiply
    11,842.22x = 16,342.39 × 6,537.04
  4. Step 4: Simplify right side
    11,842.22x = 106,830,857.13
  5. Step 5: Solve for x
    x = 106,830,857.13/11,842.22
  6. Step 6: Final answer
    x = 9,021.18

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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.