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Finding the Fourth Proportional to 8,375.42, 12,563.12 and 3,441.60

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Solution

The fourth proportional to 8,375.42, 12,563.12 and 3,441.60 is: 5,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,375.42 : 12,563.12 = 3,441.60 : x
  2. Step 2: Convert to fraction form
    8,375.42/12,563.12 = 3,441.60/x
  3. Step 3: Cross multiply
    8,375.42x = 12,563.12 × 3,441.60
  4. Step 4: Simplify right side
    8,375.42x = 43,237,233.79
  5. Step 5: Solve for x
    x = 43,237,233.79/8,375.42
  6. Step 6: Final answer
    x = 5,162.40

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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.