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Finding the Fourth Proportional to 11,842.27, 16,342.19 and 6,536.97

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Solution

The fourth proportional to 11,842.27, 16,342.19 and 6,536.97 is: 9,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842.27 : 16,342.19 = 6,536.97 : x
  2. Step 2: Convert to fraction form
    11,842.27/16,342.19 = 6,536.97/x
  3. Step 3: Cross multiply
    11,842.27x = 16,342.19 × 6,536.97
  4. Step 4: Simplify right side
    11,842.27x = 106,828,397.59
  5. Step 5: Solve for x
    x = 106,828,397.59/11,842.27
  6. Step 6: Final answer
    x = 9,020.94

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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.