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Finding the Fourth Proportional to 8,221.98, 12,331.80 and 2,675.40

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Solution

The fourth proportional to 8,221.98, 12,331.80 and 2,675.40 is: 4,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.98 : 12,331.80 = 2,675.40 : x
  2. Step 2: Convert to fraction form
    8,221.98/12,331.80 = 2,675.40/x
  3. Step 3: Cross multiply
    8,221.98x = 12,331.80 × 2,675.40
  4. Step 4: Simplify right side
    8,221.98x = 32,992,497.72
  5. Step 5: Solve for x
    x = 32,992,497.72/8,221.98
  6. Step 6: Final answer
    x = 4,012.72

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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.