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Finding the Fourth Proportional to 8,101.22, 12,153.87 and 3,422.40

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Solution

The fourth proportional to 8,101.22, 12,153.87 and 3,422.40 is: 5,134.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.22 : 12,153.87 = 3,422.40 : x
  2. Step 2: Convert to fraction form
    8,101.22/12,153.87 = 3,422.40/x
  3. Step 3: Cross multiply
    8,101.22x = 12,153.87 × 3,422.40
  4. Step 4: Simplify right side
    8,101.22x = 41,595,404.69
  5. Step 5: Solve for x
    x = 41,595,404.69/8,101.22
  6. Step 6: Final answer
    x = 5,134.46

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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.