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Finding the Fourth Proportional to 8,170.56, 12,236.34 and 4,467.24

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Solution

The fourth proportional to 8,170.56, 12,236.34 and 4,467.24 is: 6,690.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.56 : 12,236.34 = 4,467.24 : x
  2. Step 2: Convert to fraction form
    8,170.56/12,236.34 = 4,467.24/x
  3. Step 3: Cross multiply
    8,170.56x = 12,236.34 × 4,467.24
  4. Step 4: Simplify right side
    8,170.56x = 54,662,667.50
  5. Step 5: Solve for x
    x = 54,662,667.50/8,170.56
  6. Step 6: Final answer
    x = 6,690.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.