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Finding the Fourth Proportional to 11,842.91, 16,343.34 and 6,537.72

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Solution

The fourth proportional to 11,842.91, 16,343.34 and 6,537.72 is: 9,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.91 : 16,343.34 = 6,537.72 : x
  2. Step 2: Convert to fraction form
    11,842.91/16,343.34 = 6,537.72/x
  3. Step 3: Cross multiply
    11,842.91x = 16,343.34 × 6,537.72
  4. Step 4: Simplify right side
    11,842.91x = 106,848,180.78
  5. Step 5: Solve for x
    x = 106,848,180.78/11,842.91
  6. Step 6: Final answer
    x = 9,022.13

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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.