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Finding the Fourth Proportional to 8,505, 12,757.50 and 3,314.52

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Solution

The fourth proportional to 8,505, 12,757.50 and 3,314.52 is: 4,971.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505 : 12,757.50 = 3,314.52 : x
  2. Step 2: Convert to fraction form
    8,505/12,757.50 = 3,314.52/x
  3. Step 3: Cross multiply
    8,505x = 12,757.50 × 3,314.52
  4. Step 4: Simplify right side
    8,505x = 42,284,988.90
  5. Step 5: Solve for x
    x = 42,284,988.90/8,505
  6. Step 6: Final answer
    x = 4,971.78

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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.