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Finding the Fourth Proportional to 8,410.43, 12,617.17 and 3,477.40

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Solution

The fourth proportional to 8,410.43, 12,617.17 and 3,477.40 is: 5,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.43 : 12,617.17 = 3,477.40 : x
  2. Step 2: Convert to fraction form
    8,410.43/12,617.17 = 3,477.40/x
  3. Step 3: Cross multiply
    8,410.43x = 12,617.17 × 3,477.40
  4. Step 4: Simplify right side
    8,410.43x = 43,874,906.72
  5. Step 5: Solve for x
    x = 43,874,906.72/8,410.43
  6. Step 6: Final answer
    x = 5,216.72

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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.