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Finding the Fourth Proportional to 8,297.89, 12,461.03 and 5,542.27

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Solution

The fourth proportional to 8,297.89, 12,461.03 and 5,542.27 is: 8,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.89 : 12,461.03 = 5,542.27 : x
  2. Step 2: Convert to fraction form
    8,297.89/12,461.03 = 5,542.27/x
  3. Step 3: Cross multiply
    8,297.89x = 12,461.03 × 5,542.27
  4. Step 4: Simplify right side
    8,297.89x = 69,062,344.29
  5. Step 5: Solve for x
    x = 69,062,344.29/8,297.89
  6. Step 6: Final answer
    x = 8,322.89

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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.