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Finding the Fourth Proportional to 11,389.20, 17,083.78 and 3,181.20

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Solution

The fourth proportional to 11,389.20, 17,083.78 and 3,181.20 is: 4,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.20 : 17,083.78 = 3,181.20 : x
  2. Step 2: Convert to fraction form
    11,389.20/17,083.78 = 3,181.20/x
  3. Step 3: Cross multiply
    11,389.20x = 17,083.78 × 3,181.20
  4. Step 4: Simplify right side
    11,389.20x = 54,346,920.94
  5. Step 5: Solve for x
    x = 54,346,920.94/11,389.20
  6. Step 6: Final answer
    x = 4,771.79

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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.