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Finding the Fourth Proportional to 8,490.39, 12,729.19 and 3,561.44

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Solution

The fourth proportional to 8,490.39, 12,729.19 and 3,561.44 is: 5,339.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,490.39 : 12,729.19 = 3,561.44 : x
  2. Step 2: Convert to fraction form
    8,490.39/12,729.19 = 3,561.44/x
  3. Step 3: Cross multiply
    8,490.39x = 12,729.19 × 3,561.44
  4. Step 4: Simplify right side
    8,490.39x = 45,334,246.43
  5. Step 5: Solve for x
    x = 45,334,246.43/8,490.39
  6. Step 6: Final answer
    x = 5,339.48

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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.