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Finding the Fourth Proportional to 8,200.40, 12,268.20 and 7,116.80

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Solution

The fourth proportional to 8,200.40, 12,268.20 and 7,116.80 is: 10,647.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.40 : 12,268.20 = 7,116.80 : x
  2. Step 2: Convert to fraction form
    8,200.40/12,268.20 = 7,116.80/x
  3. Step 3: Cross multiply
    8,200.40x = 12,268.20 × 7,116.80
  4. Step 4: Simplify right side
    8,200.40x = 87,310,325.76
  5. Step 5: Solve for x
    x = 87,310,325.76/8,200.40
  6. Step 6: Final answer
    x = 10,647.08

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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.