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Finding the Fourth Proportional to 11,323.20, 16,984.80 and 5,179.20

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Solution

The fourth proportional to 11,323.20, 16,984.80 and 5,179.20 is: 7,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.20 : 16,984.80 = 5,179.20 : x
  2. Step 2: Convert to fraction form
    11,323.20/16,984.80 = 5,179.20/x
  3. Step 3: Cross multiply
    11,323.20x = 16,984.80 × 5,179.20
  4. Step 4: Simplify right side
    11,323.20x = 87,967,676.16
  5. Step 5: Solve for x
    x = 87,967,676.16/11,323.20
  6. Step 6: Final answer
    x = 7,768.80

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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.