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Finding the Fourth Proportional to 8,278.98, 12,418.46 and 3,348.58

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Solution

The fourth proportional to 8,278.98, 12,418.46 and 3,348.58 is: 5,022.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.98 : 12,418.46 = 3,348.58 : x
  2. Step 2: Convert to fraction form
    8,278.98/12,418.46 = 3,348.58/x
  3. Step 3: Cross multiply
    8,278.98x = 12,418.46 × 3,348.58
  4. Step 4: Simplify right side
    8,278.98x = 41,584,206.79
  5. Step 5: Solve for x
    x = 41,584,206.79/8,278.98
  6. Step 6: Final answer
    x = 5,022.87

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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.