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Finding the Fourth Proportional to 8,118.38, 11,202.60 and 4,533.20

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Solution

The fourth proportional to 8,118.38, 11,202.60 and 4,533.20 is: 6,255.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.38 : 11,202.60 = 4,533.20 : x
  2. Step 2: Convert to fraction form
    8,118.38/11,202.60 = 4,533.20/x
  3. Step 3: Cross multiply
    8,118.38x = 11,202.60 × 4,533.20
  4. Step 4: Simplify right side
    8,118.38x = 50,783,626.32
  5. Step 5: Solve for x
    x = 50,783,626.32/8,118.38
  6. Step 6: Final answer
    x = 6,255.39

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Why These Related Problems?

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