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Finding the Fourth Proportional to 11,705.95, 17,556.31 and 3,384.11

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Solution

The fourth proportional to 11,705.95, 17,556.31 and 3,384.11 is: 5,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.95 : 17,556.31 = 3,384.11 : x
  2. Step 2: Convert to fraction form
    11,705.95/17,556.31 = 3,384.11/x
  3. Step 3: Cross multiply
    11,705.95x = 17,556.31 × 3,384.11
  4. Step 4: Simplify right side
    11,705.95x = 59,412,532.36
  5. Step 5: Solve for x
    x = 59,412,532.36/11,705.95
  6. Step 6: Final answer
    x = 5,075.41

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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.