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Finding the Fourth Proportional to 11,529.70, 17,294.43 and 3,208.90

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Solution

The fourth proportional to 11,529.70, 17,294.43 and 3,208.90 is: 4,813.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529.70 : 17,294.43 = 3,208.90 : x
  2. Step 2: Convert to fraction form
    11,529.70/17,294.43 = 3,208.90/x
  3. Step 3: Cross multiply
    11,529.70x = 17,294.43 × 3,208.90
  4. Step 4: Simplify right side
    11,529.70x = 55,496,096.43
  5. Step 5: Solve for x
    x = 55,496,096.43/11,529.70
  6. Step 6: Final answer
    x = 4,813.32

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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.