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Finding the Fourth Proportional to 8,138.68, 12,206.50 and 2,295.14

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Solution

The fourth proportional to 8,138.68, 12,206.50 and 2,295.14 is: 3,442.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.68 : 12,206.50 = 2,295.14 : x
  2. Step 2: Convert to fraction form
    8,138.68/12,206.50 = 2,295.14/x
  3. Step 3: Cross multiply
    8,138.68x = 12,206.50 × 2,295.14
  4. Step 4: Simplify right side
    8,138.68x = 28,015,559.64
  5. Step 5: Solve for x
    x = 28,015,559.64/8,138.68
  6. Step 6: Final answer
    x = 3,442.27

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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.