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Finding the Fourth Proportional to 7,884.60, 11,826.90 and 3,276.60

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Solution

The fourth proportional to 7,884.60, 11,826.90 and 3,276.60 is: 4,914.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,884.60 : 11,826.90 = 3,276.60 : x
  2. Step 2: Convert to fraction form
    7,884.60/11,826.90 = 3,276.60/x
  3. Step 3: Cross multiply
    7,884.60x = 11,826.90 × 3,276.60
  4. Step 4: Simplify right side
    7,884.60x = 38,752,020.54
  5. Step 5: Solve for x
    x = 38,752,020.54/7,884.60
  6. Step 6: Final answer
    x = 4,914.90

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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.