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Finding the Fourth Proportional to 8,024, 12,031.60 and 4,512.56

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Solution

The fourth proportional to 8,024, 12,031.60 and 4,512.56 is: 6,766.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024 : 12,031.60 = 4,512.56 : x
  2. Step 2: Convert to fraction form
    8,024/12,031.60 = 4,512.56/x
  3. Step 3: Cross multiply
    8,024x = 12,031.60 × 4,512.56
  4. Step 4: Simplify right side
    8,024x = 54,293,316.90
  5. Step 5: Solve for x
    x = 54,293,316.90/8,024
  6. Step 6: Final answer
    x = 6,766.37

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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.