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Finding the Fourth Proportional to 11,794.40, 16,256.26 and 7,808.59

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Solution

The fourth proportional to 11,794.40, 16,256.26 and 7,808.59 is: 10,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.40 : 16,256.26 = 7,808.59 : x
  2. Step 2: Convert to fraction form
    11,794.40/16,256.26 = 7,808.59/x
  3. Step 3: Cross multiply
    11,794.40x = 16,256.26 × 7,808.59
  4. Step 4: Simplify right side
    11,794.40x = 126,938,469.27
  5. Step 5: Solve for x
    x = 126,938,469.27/11,794.40
  6. Step 6: Final answer
    x = 10,762.61

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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.