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Finding the Fourth Proportional to 8,215.34, 12,328.97 and 3,286.35

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Solution

The fourth proportional to 8,215.34, 12,328.97 and 3,286.35 is: 4,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.34 : 12,328.97 = 3,286.35 : x
  2. Step 2: Convert to fraction form
    8,215.34/12,328.97 = 3,286.35/x
  3. Step 3: Cross multiply
    8,215.34x = 12,328.97 × 3,286.35
  4. Step 4: Simplify right side
    8,215.34x = 40,517,294.13
  5. Step 5: Solve for x
    x = 40,517,294.13/8,215.34
  6. Step 6: Final answer
    x = 4,931.91

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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.