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Finding the Fourth Proportional to 11,782.44, 17,673.66 and 5,537.87

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Solution

The fourth proportional to 11,782.44, 17,673.66 and 5,537.87 is: 8,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.44 : 17,673.66 = 5,537.87 : x
  2. Step 2: Convert to fraction form
    11,782.44/17,673.66 = 5,537.87/x
  3. Step 3: Cross multiply
    11,782.44x = 17,673.66 × 5,537.87
  4. Step 4: Simplify right side
    11,782.44x = 97,874,431.50
  5. Step 5: Solve for x
    x = 97,874,431.50/11,782.44
  6. Step 6: Final answer
    x = 8,306.81

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Why These Related Problems?

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