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Finding the Fourth Proportional to 11,289.65, 16,917.26 and 5,734.67

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Solution

The fourth proportional to 11,289.65, 16,917.26 and 5,734.67 is: 8,593.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,289.65 : 16,917.26 = 5,734.67 : x
  2. Step 2: Convert to fraction form
    11,289.65/16,917.26 = 5,734.67/x
  3. Step 3: Cross multiply
    11,289.65x = 16,917.26 × 5,734.67
  4. Step 4: Simplify right side
    11,289.65x = 97,014,790.14
  5. Step 5: Solve for x
    x = 97,014,790.14/11,289.65
  6. Step 6: Final answer
    x = 8,593.25

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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.