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Finding the Fourth Proportional to 8,215.68, 12,334.50 and 6,990.96

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Solution

The fourth proportional to 8,215.68, 12,334.50 and 6,990.96 is: 10,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.68 : 12,334.50 = 6,990.96 : x
  2. Step 2: Convert to fraction form
    8,215.68/12,334.50 = 6,990.96/x
  3. Step 3: Cross multiply
    8,215.68x = 12,334.50 × 6,990.96
  4. Step 4: Simplify right side
    8,215.68x = 86,229,996.12
  5. Step 5: Solve for x
    x = 86,229,996.12/8,215.68
  6. Step 6: Final answer
    x = 10,495.78

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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.