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Finding the Fourth Proportional to 8,138.44, 12,207.63 and 2,295.19

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Solution

The fourth proportional to 8,138.44, 12,207.63 and 2,295.19 is: 3,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.44 : 12,207.63 = 2,295.19 : x
  2. Step 2: Convert to fraction form
    8,138.44/12,207.63 = 2,295.19/x
  3. Step 3: Cross multiply
    8,138.44x = 12,207.63 × 2,295.19
  4. Step 4: Simplify right side
    8,138.44x = 28,018,769.26
  5. Step 5: Solve for x
    x = 28,018,769.26/8,138.44
  6. Step 6: Final answer
    x = 3,442.77

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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.