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Finding the Fourth Proportional to 8,165.97, 12,244.89 and 3,485.25

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Solution

The fourth proportional to 8,165.97, 12,244.89 and 3,485.25 is: 5,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.97 : 12,244.89 = 3,485.25 : x
  2. Step 2: Convert to fraction form
    8,165.97/12,244.89 = 3,485.25/x
  3. Step 3: Cross multiply
    8,165.97x = 12,244.89 × 3,485.25
  4. Step 4: Simplify right side
    8,165.97x = 42,676,502.87
  5. Step 5: Solve for x
    x = 42,676,502.87/8,165.97
  6. Step 6: Final answer
    x = 5,226.14

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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.