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Finding the Fourth Proportional to 8,370.48, 12,546.24 and 3,433.80

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Solution

The fourth proportional to 8,370.48, 12,546.24 and 3,433.80 is: 5,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,370.48 : 12,546.24 = 3,433.80 : x
  2. Step 2: Convert to fraction form
    8,370.48/12,546.24 = 3,433.80/x
  3. Step 3: Cross multiply
    8,370.48x = 12,546.24 × 3,433.80
  4. Step 4: Simplify right side
    8,370.48x = 43,081,278.91
  5. Step 5: Solve for x
    x = 43,081,278.91/8,370.48
  6. Step 6: Final answer
    x = 5,146.81

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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.