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Finding the Fourth Proportional to 8,271.19, 11,410.44 and 4,912.09

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Solution

The fourth proportional to 8,271.19, 11,410.44 and 4,912.09 is: 6,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.19 : 11,410.44 = 4,912.09 : x
  2. Step 2: Convert to fraction form
    8,271.19/11,410.44 = 4,912.09/x
  3. Step 3: Cross multiply
    8,271.19x = 11,410.44 × 4,912.09
  4. Step 4: Simplify right side
    8,271.19x = 56,049,166.90
  5. Step 5: Solve for x
    x = 56,049,166.90/8,271.19
  6. Step 6: Final answer
    x = 6,776.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.