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Finding the Fourth Proportional to 8,284.78, 12,427.38 and 2,441.59

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Solution

The fourth proportional to 8,284.78, 12,427.38 and 2,441.59 is: 3,662.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.78 : 12,427.38 = 2,441.59 : x
  2. Step 2: Convert to fraction form
    8,284.78/12,427.38 = 2,441.59/x
  3. Step 3: Cross multiply
    8,284.78x = 12,427.38 × 2,441.59
  4. Step 4: Simplify right side
    8,284.78x = 30,342,566.73
  5. Step 5: Solve for x
    x = 30,342,566.73/8,284.78
  6. Step 6: Final answer
    x = 3,662.45

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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.