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Finding the Fourth Proportional to 11,525.84, 17,289.09 and 3,206.46

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Solution

The fourth proportional to 11,525.84, 17,289.09 and 3,206.46 is: 4,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.84 : 17,289.09 = 3,206.46 : x
  2. Step 2: Convert to fraction form
    11,525.84/17,289.09 = 3,206.46/x
  3. Step 3: Cross multiply
    11,525.84x = 17,289.09 × 3,206.46
  4. Step 4: Simplify right side
    11,525.84x = 55,436,775.52
  5. Step 5: Solve for x
    x = 55,436,775.52/11,525.84
  6. Step 6: Final answer
    x = 4,809.78

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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.