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Finding the Fourth Proportional to 11,401.36, 17,078.04 and 5,837.80

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Solution

The fourth proportional to 11,401.36, 17,078.04 and 5,837.80 is: 8,744.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,401.36 : 17,078.04 = 5,837.80 : x
  2. Step 2: Convert to fraction form
    11,401.36/17,078.04 = 5,837.80/x
  3. Step 3: Cross multiply
    11,401.36x = 17,078.04 × 5,837.80
  4. Step 4: Simplify right side
    11,401.36x = 99,698,181.91
  5. Step 5: Solve for x
    x = 99,698,181.91/11,401.36
  6. Step 6: Final answer
    x = 8,744.41

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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.