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Finding the Fourth Proportional to 8,271.46, 11,414.72 and 4,494.64

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Solution

The fourth proportional to 8,271.46, 11,414.72 and 4,494.64 is: 6,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.46 : 11,414.72 = 4,494.64 : x
  2. Step 2: Convert to fraction form
    8,271.46/11,414.72 = 4,494.64/x
  3. Step 3: Cross multiply
    8,271.46x = 11,414.72 × 4,494.64
  4. Step 4: Simplify right side
    8,271.46x = 51,305,057.10
  5. Step 5: Solve for x
    x = 51,305,057.10/8,271.46
  6. Step 6: Final answer
    x = 6,202.66

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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.