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Finding the Fourth Proportional to 8,215.89, 12,322.48 and 2,293.18

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Solution

The fourth proportional to 8,215.89, 12,322.48 and 2,293.18 is: 3,439.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.89 : 12,322.48 = 2,293.18 : x
  2. Step 2: Convert to fraction form
    8,215.89/12,322.48 = 2,293.18/x
  3. Step 3: Cross multiply
    8,215.89x = 12,322.48 × 2,293.18
  4. Step 4: Simplify right side
    8,215.89x = 28,257,664.69
  5. Step 5: Solve for x
    x = 28,257,664.69/8,215.89
  6. Step 6: Final answer
    x = 3,439.39

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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.