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Finding the Fourth Proportional to 8,378.33, 12,567.49 and 2,138.34

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Solution

The fourth proportional to 8,378.33, 12,567.49 and 2,138.34 is: 3,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.33 : 12,567.49 = 2,138.34 : x
  2. Step 2: Convert to fraction form
    8,378.33/12,567.49 = 2,138.34/x
  3. Step 3: Cross multiply
    8,378.33x = 12,567.49 × 2,138.34
  4. Step 4: Simplify right side
    8,378.33x = 26,873,620.13
  5. Step 5: Solve for x
    x = 26,873,620.13/8,378.33
  6. Step 6: Final answer
    x = 3,207.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.