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Finding the Fourth Proportional to 11,042.44, 16,564.10 and 5,194.96

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Solution

The fourth proportional to 11,042.44, 16,564.10 and 5,194.96 is: 7,792.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,042.44 : 16,564.10 = 5,194.96 : x
  2. Step 2: Convert to fraction form
    11,042.44/16,564.10 = 5,194.96/x
  3. Step 3: Cross multiply
    11,042.44x = 16,564.10 × 5,194.96
  4. Step 4: Simplify right side
    11,042.44x = 86,049,836.94
  5. Step 5: Solve for x
    x = 86,049,836.94/11,042.44
  6. Step 6: Final answer
    x = 7,792.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.