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Finding the Fourth Proportional to 8,138.12, 12,209.02 and 2,943.99

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Solution

The fourth proportional to 8,138.12, 12,209.02 and 2,943.99 is: 4,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.12 : 12,209.02 = 2,943.99 : x
  2. Step 2: Convert to fraction form
    8,138.12/12,209.02 = 2,943.99/x
  3. Step 3: Cross multiply
    8,138.12x = 12,209.02 × 2,943.99
  4. Step 4: Simplify right side
    8,138.12x = 35,943,225.43
  5. Step 5: Solve for x
    x = 35,943,225.43/8,138.12
  6. Step 6: Final answer
    x = 4,416.65

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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.