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Finding the Fourth Proportional to 11,705.96, 17,556.32 and 3,384.12

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Solution

The fourth proportional to 11,705.96, 17,556.32 and 3,384.12 is: 5,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.96 : 17,556.32 = 3,384.12 : x
  2. Step 2: Convert to fraction form
    11,705.96/17,556.32 = 3,384.12/x
  3. Step 3: Cross multiply
    11,705.96x = 17,556.32 × 3,384.12
  4. Step 4: Simplify right side
    11,705.96x = 59,412,676.72
  5. Step 5: Solve for x
    x = 59,412,676.72/11,705.96
  6. Step 6: Final answer
    x = 5,075.42

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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.