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Finding the Fourth Proportional to 8,254.50, 12,383.37 and 2,708.16

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Solution

The fourth proportional to 8,254.50, 12,383.37 and 2,708.16 is: 4,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.50 : 12,383.37 = 2,708.16 : x
  2. Step 2: Convert to fraction form
    8,254.50/12,383.37 = 2,708.16/x
  3. Step 3: Cross multiply
    8,254.50x = 12,383.37 × 2,708.16
  4. Step 4: Simplify right side
    8,254.50x = 33,536,147.30
  5. Step 5: Solve for x
    x = 33,536,147.30/8,254.50
  6. Step 6: Final answer
    x = 4,062.77

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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.