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Finding the Fourth Proportional to 11,389.05, 17,083.68 and 3,993.50

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Solution

The fourth proportional to 11,389.05, 17,083.68 and 3,993.50 is: 5,990.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,389.05 : 17,083.68 = 3,993.50 : x
  2. Step 2: Convert to fraction form
    11,389.05/17,083.68 = 3,993.50/x
  3. Step 3: Cross multiply
    11,389.05x = 17,083.68 × 3,993.50
  4. Step 4: Simplify right side
    11,389.05x = 68,223,590.66
  5. Step 5: Solve for x
    x = 68,223,590.66/11,389.05
  6. Step 6: Final answer
    x = 5,990.28

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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.