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Finding the Fourth Proportional to 11,843.62, 17,776.40 and 6,004.33

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Solution

The fourth proportional to 11,843.62, 17,776.40 and 6,004.33 is: 9,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.62 : 17,776.40 = 6,004.33 : x
  2. Step 2: Convert to fraction form
    11,843.62/17,776.40 = 6,004.33/x
  3. Step 3: Cross multiply
    11,843.62x = 17,776.40 × 6,004.33
  4. Step 4: Simplify right side
    11,843.62x = 106,735,297.35
  5. Step 5: Solve for x
    x = 106,735,297.35/11,843.62
  6. Step 6: Final answer
    x = 9,012.05

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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.