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Finding the Fourth Proportional to 8,265.25, 12,397.88 and 2,109.25

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Solution

The fourth proportional to 8,265.25, 12,397.88 and 2,109.25 is: 3,163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.25 : 12,397.88 = 2,109.25 : x
  2. Step 2: Convert to fraction form
    8,265.25/12,397.88 = 2,109.25/x
  3. Step 3: Cross multiply
    8,265.25x = 12,397.88 × 2,109.25
  4. Step 4: Simplify right side
    8,265.25x = 26,150,228.39
  5. Step 5: Solve for x
    x = 26,150,228.39/8,265.25
  6. Step 6: Final answer
    x = 3,163.88

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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.