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Finding the Fourth Proportional to 8,134.14, 12,201.27 and 2,940

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Solution

The fourth proportional to 8,134.14, 12,201.27 and 2,940 is: 4,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.14 : 12,201.27 = 2,940 : x
  2. Step 2: Convert to fraction form
    8,134.14/12,201.27 = 2,940/x
  3. Step 3: Cross multiply
    8,134.14x = 12,201.27 × 2,940
  4. Step 4: Simplify right side
    8,134.14x = 35,871,733.80
  5. Step 5: Solve for x
    x = 35,871,733.80/8,134.14
  6. Step 6: Final answer
    x = 4,410.02

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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.