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Finding the Fourth Proportional to 8,496.98, 12,745.14 and 2,257.04

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Solution

The fourth proportional to 8,496.98, 12,745.14 and 2,257.04 is: 3,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496.98 : 12,745.14 = 2,257.04 : x
  2. Step 2: Convert to fraction form
    8,496.98/12,745.14 = 2,257.04/x
  3. Step 3: Cross multiply
    8,496.98x = 12,745.14 × 2,257.04
  4. Step 4: Simplify right side
    8,496.98x = 28,766,290.79
  5. Step 5: Solve for x
    x = 28,766,290.79/8,496.98
  6. Step 6: Final answer
    x = 3,385.47

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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.