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Finding the Fourth Proportional to 8,677.50, 11,996.55 and 8,310.30

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Solution

The fourth proportional to 8,677.50, 11,996.55 and 8,310.30 is: 11,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,677.50 : 11,996.55 = 8,310.30 : x
  2. Step 2: Convert to fraction form
    8,677.50/11,996.55 = 8,310.30/x
  3. Step 3: Cross multiply
    8,677.50x = 11,996.55 × 8,310.30
  4. Step 4: Simplify right side
    8,677.50x = 99,694,929.47
  5. Step 5: Solve for x
    x = 99,694,929.47/8,677.50
  6. Step 6: Final answer
    x = 11,488.90

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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.