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Finding the Fourth Proportional to 8,333.80, 12,500.70 and 8,204.20

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Solution

The fourth proportional to 8,333.80, 12,500.70 and 8,204.20 is: 12,306.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,333.80 : 12,500.70 = 8,204.20 : x
  2. Step 2: Convert to fraction form
    8,333.80/12,500.70 = 8,204.20/x
  3. Step 3: Cross multiply
    8,333.80x = 12,500.70 × 8,204.20
  4. Step 4: Simplify right side
    8,333.80x = 102,558,242.94
  5. Step 5: Solve for x
    x = 102,558,242.94/8,333.80
  6. Step 6: Final answer
    x = 12,306.30

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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.