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Finding the Fourth Proportional to 8,422.76, 12,648.27 and 8,087.54

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Solution

The fourth proportional to 8,422.76, 12,648.27 and 8,087.54 is: 12,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.76 : 12,648.27 = 8,087.54 : x
  2. Step 2: Convert to fraction form
    8,422.76/12,648.27 = 8,087.54/x
  3. Step 3: Cross multiply
    8,422.76x = 12,648.27 × 8,087.54
  4. Step 4: Simplify right side
    8,422.76x = 102,293,389.56
  5. Step 5: Solve for x
    x = 102,293,389.56/8,422.76
  6. Step 6: Final answer
    x = 12,144.88

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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.