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Finding the Fourth Proportional to 8,331.80, 12,497.70 and 8,202.20

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Solution

The fourth proportional to 8,331.80, 12,497.70 and 8,202.20 is: 12,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,331.80 : 12,497.70 = 8,202.20 : x
  2. Step 2: Convert to fraction form
    8,331.80/12,497.70 = 8,202.20/x
  3. Step 3: Cross multiply
    8,331.80x = 12,497.70 × 8,202.20
  4. Step 4: Simplify right side
    8,331.80x = 102,508,634.94
  5. Step 5: Solve for x
    x = 102,508,634.94/8,331.80
  6. Step 6: Final answer
    x = 12,303.30

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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.