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Finding the Fourth Proportional to 8,293.43, 11,455.88 and 6,144.33

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Solution

The fourth proportional to 8,293.43, 11,455.88 and 6,144.33 is: 8,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.43 : 11,455.88 = 6,144.33 : x
  2. Step 2: Convert to fraction form
    8,293.43/11,455.88 = 6,144.33/x
  3. Step 3: Cross multiply
    8,293.43x = 11,455.88 × 6,144.33
  4. Step 4: Simplify right side
    8,293.43x = 70,388,742.44
  5. Step 5: Solve for x
    x = 70,388,742.44/8,293.43
  6. Step 6: Final answer
    x = 8,487.29

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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.