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Finding the Fourth Proportional to 11,842.81, 16,342.97 and 6,537.66

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Solution

The fourth proportional to 11,842.81, 16,342.97 and 6,537.66 is: 9,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.81 : 16,342.97 = 6,537.66 : x
  2. Step 2: Convert to fraction form
    11,842.81/16,342.97 = 6,537.66/x
  3. Step 3: Cross multiply
    11,842.81x = 16,342.97 × 6,537.66
  4. Step 4: Simplify right side
    11,842.81x = 106,844,779.20
  5. Step 5: Solve for x
    x = 106,844,779.20/11,842.81
  6. Step 6: Final answer
    x = 9,021.91

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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.