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Finding the Fourth Proportional to 8,078.50, 11,148.51 and 4,936.42

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Solution

The fourth proportional to 8,078.50, 11,148.51 and 4,936.42 is: 6,812.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.50 : 11,148.51 = 4,936.42 : x
  2. Step 2: Convert to fraction form
    8,078.50/11,148.51 = 4,936.42/x
  3. Step 3: Cross multiply
    8,078.50x = 11,148.51 × 4,936.42
  4. Step 4: Simplify right side
    8,078.50x = 55,033,727.73
  5. Step 5: Solve for x
    x = 55,033,727.73/8,078.50
  6. Step 6: Final answer
    x = 6,812.37

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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.