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Finding the Fourth Proportional to 8,103.26, 12,154.89 and 1,947.26

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Solution

The fourth proportional to 8,103.26, 12,154.89 and 1,947.26 is: 2,920.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,103.26 : 12,154.89 = 1,947.26 : x
  2. Step 2: Convert to fraction form
    8,103.26/12,154.89 = 1,947.26/x
  3. Step 3: Cross multiply
    8,103.26x = 12,154.89 × 1,947.26
  4. Step 4: Simplify right side
    8,103.26x = 23,668,670.33
  5. Step 5: Solve for x
    x = 23,668,670.33/8,103.26
  6. Step 6: Final answer
    x = 2,920.88

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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.