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Finding the Fourth Proportional to 11,623.30, 16,040.26 and 6,906.67

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Solution

The fourth proportional to 11,623.30, 16,040.26 and 6,906.67 is: 9,531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.30 : 16,040.26 = 6,906.67 : x
  2. Step 2: Convert to fraction form
    11,623.30/16,040.26 = 6,906.67/x
  3. Step 3: Cross multiply
    11,623.30x = 16,040.26 × 6,906.67
  4. Step 4: Simplify right side
    11,623.30x = 110,784,751.07
  5. Step 5: Solve for x
    x = 110,784,751.07/11,623.30
  6. Step 6: Final answer
    x = 9,531.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.