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Finding the Fourth Proportional to 11,003.94, 16,506.47 and 3,213.34

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Solution

The fourth proportional to 11,003.94, 16,506.47 and 3,213.34 is: 4,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,003.94 : 16,506.47 = 3,213.34 : x
  2. Step 2: Convert to fraction form
    11,003.94/16,506.47 = 3,213.34/x
  3. Step 3: Cross multiply
    11,003.94x = 16,506.47 × 3,213.34
  4. Step 4: Simplify right side
    11,003.94x = 53,040,900.31
  5. Step 5: Solve for x
    x = 53,040,900.31/11,003.94
  6. Step 6: Final answer
    x = 4,820.17

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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.