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Finding the Fourth Proportional to 11,615.74, 16,042.94 and 7,832.41

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Solution

The fourth proportional to 11,615.74, 16,042.94 and 7,832.41 is: 10,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.74 : 16,042.94 = 7,832.41 : x
  2. Step 2: Convert to fraction form
    11,615.74/16,042.94 = 7,832.41/x
  3. Step 3: Cross multiply
    11,615.74x = 16,042.94 × 7,832.41
  4. Step 4: Simplify right side
    11,615.74x = 125,654,883.69
  5. Step 5: Solve for x
    x = 125,654,883.69/11,615.74
  6. Step 6: Final answer
    x = 10,817.64

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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.