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Finding the Fourth Proportional to 8,165.21, 12,248.96 and 2,617.25

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Solution

The fourth proportional to 8,165.21, 12,248.96 and 2,617.25 is: 3,926.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.21 : 12,248.96 = 2,617.25 : x
  2. Step 2: Convert to fraction form
    8,165.21/12,248.96 = 2,617.25/x
  3. Step 3: Cross multiply
    8,165.21x = 12,248.96 × 2,617.25
  4. Step 4: Simplify right side
    8,165.21x = 32,058,608.10
  5. Step 5: Solve for x
    x = 32,058,608.10/8,165.21
  6. Step 6: Final answer
    x = 3,926.25

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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.