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Finding the Fourth Proportional to 8,138.45, 11,231.15 and 4,412.45

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Solution

The fourth proportional to 8,138.45, 11,231.15 and 4,412.45 is: 6,089.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.45 : 11,231.15 = 4,412.45 : x
  2. Step 2: Convert to fraction form
    8,138.45/11,231.15 = 4,412.45/x
  3. Step 3: Cross multiply
    8,138.45x = 11,231.15 × 4,412.45
  4. Step 4: Simplify right side
    8,138.45x = 49,556,809.60
  5. Step 5: Solve for x
    x = 49,556,809.60/8,138.45
  6. Step 6: Final answer
    x = 6,089.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.