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Finding the Fourth Proportional to 11,381.82, 17,078.01 and 4,809.54

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Solution

The fourth proportional to 11,381.82, 17,078.01 and 4,809.54 is: 7,216.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.82 : 17,078.01 = 4,809.54 : x
  2. Step 2: Convert to fraction form
    11,381.82/17,078.01 = 4,809.54/x
  3. Step 3: Cross multiply
    11,381.82x = 17,078.01 × 4,809.54
  4. Step 4: Simplify right side
    11,381.82x = 82,137,372.22
  5. Step 5: Solve for x
    x = 82,137,372.22/11,381.82
  6. Step 6: Final answer
    x = 7,216.54

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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.