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Finding the Fourth Proportional to 8,328.12, 12,493.98 and 2,780.44

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Solution

The fourth proportional to 8,328.12, 12,493.98 and 2,780.44 is: 4,171.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,328.12 : 12,493.98 = 2,780.44 : x
  2. Step 2: Convert to fraction form
    8,328.12/12,493.98 = 2,780.44/x
  3. Step 3: Cross multiply
    8,328.12x = 12,493.98 × 2,780.44
  4. Step 4: Simplify right side
    8,328.12x = 34,738,761.75
  5. Step 5: Solve for x
    x = 34,738,761.75/8,328.12
  6. Step 6: Final answer
    x = 4,171.26

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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.