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Finding the Fourth Proportional to 8,134.17, 12,199.80 and 2,289.39

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Solution

The fourth proportional to 8,134.17, 12,199.80 and 2,289.39 is: 3,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.17 : 12,199.80 = 2,289.39 : x
  2. Step 2: Convert to fraction form
    8,134.17/12,199.80 = 2,289.39/x
  3. Step 3: Cross multiply
    8,134.17x = 12,199.80 × 2,289.39
  4. Step 4: Simplify right side
    8,134.17x = 27,930,100.12
  5. Step 5: Solve for x
    x = 27,930,100.12/8,134.17
  6. Step 6: Final answer
    x = 3,433.68

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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.