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Finding the Fourth Proportional to 8,230.20, 11,359.05 and 6,475.20

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Solution

The fourth proportional to 8,230.20, 11,359.05 and 6,475.20 is: 8,936.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.20 : 11,359.05 = 6,475.20 : x
  2. Step 2: Convert to fraction form
    8,230.20/11,359.05 = 6,475.20/x
  3. Step 3: Cross multiply
    8,230.20x = 11,359.05 × 6,475.20
  4. Step 4: Simplify right side
    8,230.20x = 73,552,120.56
  5. Step 5: Solve for x
    x = 73,552,120.56/8,230.20
  6. Step 6: Final answer
    x = 8,936.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.