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Finding the Fourth Proportional to 11,011, 16,513.26 and 3,217.96

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Solution

The fourth proportional to 11,011, 16,513.26 and 3,217.96 is: 4,825.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,011 : 16,513.26 = 3,217.96 : x
  2. Step 2: Convert to fraction form
    11,011/16,513.26 = 3,217.96/x
  3. Step 3: Cross multiply
    11,011x = 16,513.26 × 3,217.96
  4. Step 4: Simplify right side
    11,011x = 53,139,010.15
  5. Step 5: Solve for x
    x = 53,139,010.15/11,011
  6. Step 6: Final answer
    x = 4,825.99

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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.