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Finding the Fourth Proportional to 8,179.80, 12,245.40 and 5,409.60

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Solution

The fourth proportional to 8,179.80, 12,245.40 and 5,409.60 is: 8,098.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.80 : 12,245.40 = 5,409.60 : x
  2. Step 2: Convert to fraction form
    8,179.80/12,245.40 = 5,409.60/x
  3. Step 3: Cross multiply
    8,179.80x = 12,245.40 × 5,409.60
  4. Step 4: Simplify right side
    8,179.80x = 66,242,715.84
  5. Step 5: Solve for x
    x = 66,242,715.84/8,179.80
  6. Step 6: Final answer
    x = 8,098.33

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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.