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Finding the Fourth Proportional to 10,984.80, 16,477.18 and 8,512.26

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Solution

The fourth proportional to 10,984.80, 16,477.18 and 8,512.26 is: 12,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,984.80 : 16,477.18 = 8,512.26 : x
  2. Step 2: Convert to fraction form
    10,984.80/16,477.18 = 8,512.26/x
  3. Step 3: Cross multiply
    10,984.80x = 16,477.18 × 8,512.26
  4. Step 4: Simplify right side
    10,984.80x = 140,258,040.23
  5. Step 5: Solve for x
    x = 140,258,040.23/10,984.80
  6. Step 6: Final answer
    x = 12,768.37

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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.