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Finding the Fourth Proportional to 8,034, 12,046.60 and 4,522.56

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Solution

The fourth proportional to 8,034, 12,046.60 and 4,522.56 is: 6,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,034 : 12,046.60 = 4,522.56 : x
  2. Step 2: Convert to fraction form
    8,034/12,046.60 = 4,522.56/x
  3. Step 3: Cross multiply
    8,034x = 12,046.60 × 4,522.56
  4. Step 4: Simplify right side
    8,034x = 54,481,471.30
  5. Step 5: Solve for x
    x = 54,481,471.30/8,034
  6. Step 6: Final answer
    x = 6,781.36

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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.