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Finding the Fourth Proportional to 8,211.53, 11,331.23 and 4,854.48

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Solution

The fourth proportional to 8,211.53, 11,331.23 and 4,854.48 is: 6,698.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.53 : 11,331.23 = 4,854.48 : x
  2. Step 2: Convert to fraction form
    8,211.53/11,331.23 = 4,854.48/x
  3. Step 3: Cross multiply
    8,211.53x = 11,331.23 × 4,854.48
  4. Step 4: Simplify right side
    8,211.53x = 55,007,205.14
  5. Step 5: Solve for x
    x = 55,007,205.14/8,211.53
  6. Step 6: Final answer
    x = 6,698.78

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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.