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Finding the Fourth Proportional to 8,311.34, 12,472.40 and 4,418.48

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Solution

The fourth proportional to 8,311.34, 12,472.40 and 4,418.48 is: 6,630.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.34 : 12,472.40 = 4,418.48 : x
  2. Step 2: Convert to fraction form
    8,311.34/12,472.40 = 4,418.48/x
  3. Step 3: Cross multiply
    8,311.34x = 12,472.40 × 4,418.48
  4. Step 4: Simplify right side
    8,311.34x = 55,109,049.95
  5. Step 5: Solve for x
    x = 55,109,049.95/8,311.34
  6. Step 6: Final answer
    x = 6,630.59

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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.