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Finding the Fourth Proportional to 8,278.48, 12,414.68 and 3,346.80

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Solution

The fourth proportional to 8,278.48, 12,414.68 and 3,346.80 is: 5,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.48 : 12,414.68 = 3,346.80 : x
  2. Step 2: Convert to fraction form
    8,278.48/12,414.68 = 3,346.80/x
  3. Step 3: Cross multiply
    8,278.48x = 12,414.68 × 3,346.80
  4. Step 4: Simplify right side
    8,278.48x = 41,549,451.02
  5. Step 5: Solve for x
    x = 41,549,451.02/8,278.48
  6. Step 6: Final answer
    x = 5,018.97

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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.