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Finding the Fourth Proportional to 8,410.89, 12,616.34 and 3,475.10

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Solution

The fourth proportional to 8,410.89, 12,616.34 and 3,475.10 is: 5,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.89 : 12,616.34 = 3,475.10 : x
  2. Step 2: Convert to fraction form
    8,410.89/12,616.34 = 3,475.10/x
  3. Step 3: Cross multiply
    8,410.89x = 12,616.34 × 3,475.10
  4. Step 4: Simplify right side
    8,410.89x = 43,843,057.30
  5. Step 5: Solve for x
    x = 43,843,057.30/8,410.89
  6. Step 6: Final answer
    x = 5,212.65

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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.