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Finding the Fourth Proportional to 11,948.43, 16,481.64 and 7,698.09

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Solution

The fourth proportional to 11,948.43, 16,481.64 and 7,698.09 is: 10,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.43 : 16,481.64 = 7,698.09 : x
  2. Step 2: Convert to fraction form
    11,948.43/16,481.64 = 7,698.09/x
  3. Step 3: Cross multiply
    11,948.43x = 16,481.64 × 7,698.09
  4. Step 4: Simplify right side
    11,948.43x = 126,877,148.07
  5. Step 5: Solve for x
    x = 126,877,148.07/11,948.43
  6. Step 6: Final answer
    x = 10,618.73

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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.