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Finding the Fourth Proportional to 8,576.80, 12,865.20 and 5,296.30

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Solution

The fourth proportional to 8,576.80, 12,865.20 and 5,296.30 is: 7,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.80 : 12,865.20 = 5,296.30 : x
  2. Step 2: Convert to fraction form
    8,576.80/12,865.20 = 5,296.30/x
  3. Step 3: Cross multiply
    8,576.80x = 12,865.20 × 5,296.30
  4. Step 4: Simplify right side
    8,576.80x = 68,137,958.76
  5. Step 5: Solve for x
    x = 68,137,958.76/8,576.80
  6. Step 6: Final answer
    x = 7,944.45

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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.