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Finding the Fourth Proportional to 11,525.67, 17,289.73 and 3,205.71

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Solution

The fourth proportional to 11,525.67, 17,289.73 and 3,205.71 is: 4,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,525.67 : 17,289.73 = 3,205.71 : x
  2. Step 2: Convert to fraction form
    11,525.67/17,289.73 = 3,205.71/x
  3. Step 3: Cross multiply
    11,525.67x = 17,289.73 × 3,205.71
  4. Step 4: Simplify right side
    11,525.67x = 55,425,773.91
  5. Step 5: Solve for x
    x = 55,425,773.91/11,525.67
  6. Step 6: Final answer
    x = 4,808.90

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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.