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Finding the Fourth Proportional to 8,453.60, 12,679.60 and 2,906.40

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Solution

The fourth proportional to 8,453.60, 12,679.60 and 2,906.40 is: 4,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.60 : 12,679.60 = 2,906.40 : x
  2. Step 2: Convert to fraction form
    8,453.60/12,679.60 = 2,906.40/x
  3. Step 3: Cross multiply
    8,453.60x = 12,679.60 × 2,906.40
  4. Step 4: Simplify right side
    8,453.60x = 36,851,989.44
  5. Step 5: Solve for x
    x = 36,851,989.44/8,453.60
  6. Step 6: Final answer
    x = 4,359.32

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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.