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Finding the Fourth Proportional to 8,218.80, 12,328.20 and 7,311.60

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Solution

The fourth proportional to 8,218.80, 12,328.20 and 7,311.60 is: 10,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.80 : 12,328.20 = 7,311.60 : x
  2. Step 2: Convert to fraction form
    8,218.80/12,328.20 = 7,311.60/x
  3. Step 3: Cross multiply
    8,218.80x = 12,328.20 × 7,311.60
  4. Step 4: Simplify right side
    8,218.80x = 90,138,867.12
  5. Step 5: Solve for x
    x = 90,138,867.12/8,218.80
  6. Step 6: Final answer
    x = 10,967.40

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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.