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Finding the Fourth Proportional to 8,252.16, 12,378.80 and 2,408.80

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Solution

The fourth proportional to 8,252.16, 12,378.80 and 2,408.80 is: 3,613.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.16 : 12,378.80 = 2,408.80 : x
  2. Step 2: Convert to fraction form
    8,252.16/12,378.80 = 2,408.80/x
  3. Step 3: Cross multiply
    8,252.16x = 12,378.80 × 2,408.80
  4. Step 4: Simplify right side
    8,252.16x = 29,818,053.44
  5. Step 5: Solve for x
    x = 29,818,053.44/8,252.16
  6. Step 6: Final answer
    x = 3,613.36

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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.