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Finding the Fourth Proportional to 8,564.21, 12,850.16 and 5,443.41

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Solution

The fourth proportional to 8,564.21, 12,850.16 and 5,443.41 is: 8,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,564.21 : 12,850.16 = 5,443.41 : x
  2. Step 2: Convert to fraction form
    8,564.21/12,850.16 = 5,443.41/x
  3. Step 3: Cross multiply
    8,564.21x = 12,850.16 × 5,443.41
  4. Step 4: Simplify right side
    8,564.21x = 69,948,662.23
  5. Step 5: Solve for x
    x = 69,948,662.23/8,564.21
  6. Step 6: Final answer
    x = 8,167.56

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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.