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Finding the Fourth Proportional to 8,138.89, 12,206.62 and 2,293.93

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Solution

The fourth proportional to 8,138.89, 12,206.62 and 2,293.93 is: 3,440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.89 : 12,206.62 = 2,293.93 : x
  2. Step 2: Convert to fraction form
    8,138.89/12,206.62 = 2,293.93/x
  3. Step 3: Cross multiply
    8,138.89x = 12,206.62 × 2,293.93
  4. Step 4: Simplify right side
    8,138.89x = 28,001,131.82
  5. Step 5: Solve for x
    x = 28,001,131.82/8,138.89
  6. Step 6: Final answer
    x = 3,440.41

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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.