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Finding the Fourth Proportional to 8,634.40, 12,951.46 and 3,086.24

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Solution

The fourth proportional to 8,634.40, 12,951.46 and 3,086.24 is: 4,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.40 : 12,951.46 = 3,086.24 : x
  2. Step 2: Convert to fraction form
    8,634.40/12,951.46 = 3,086.24/x
  3. Step 3: Cross multiply
    8,634.40x = 12,951.46 × 3,086.24
  4. Step 4: Simplify right side
    8,634.40x = 39,971,313.91
  5. Step 5: Solve for x
    x = 39,971,313.91/8,634.40
  6. Step 6: Final answer
    x = 4,629.31

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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.