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Finding the Fourth Proportional to 11,014.93, 16,517.01 and 7,684.78

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Solution

The fourth proportional to 11,014.93, 16,517.01 and 7,684.78 is: 11,523.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.93 : 16,517.01 = 7,684.78 : x
  2. Step 2: Convert to fraction form
    11,014.93/16,517.01 = 7,684.78/x
  3. Step 3: Cross multiply
    11,014.93x = 16,517.01 × 7,684.78
  4. Step 4: Simplify right side
    11,014.93x = 126,929,588.11
  5. Step 5: Solve for x
    x = 126,929,588.11/11,014.93
  6. Step 6: Final answer
    x = 11,523.41

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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.