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Finding the Fourth Proportional to 11,768.73, 16,248.45 and 7,297.23

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Solution

The fourth proportional to 11,768.73, 16,248.45 and 7,297.23 is: 10,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,768.73 : 16,248.45 = 7,297.23 : x
  2. Step 2: Convert to fraction form
    11,768.73/16,248.45 = 7,297.23/x
  3. Step 3: Cross multiply
    11,768.73x = 16,248.45 × 7,297.23
  4. Step 4: Simplify right side
    11,768.73x = 118,568,676.79
  5. Step 5: Solve for x
    x = 118,568,676.79/11,768.73
  6. Step 6: Final answer
    x = 10,074.89

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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.