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Finding the Fourth Proportional to 8,420.12, 12,616.22 and 5,123.24

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Solution

The fourth proportional to 8,420.12, 12,616.22 and 5,123.24 is: 7,676.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.12 : 12,616.22 = 5,123.24 : x
  2. Step 2: Convert to fraction form
    8,420.12/12,616.22 = 5,123.24/x
  3. Step 3: Cross multiply
    8,420.12x = 12,616.22 × 5,123.24
  4. Step 4: Simplify right side
    8,420.12x = 64,635,922.95
  5. Step 5: Solve for x
    x = 64,635,922.95/8,420.12
  6. Step 6: Final answer
    x = 7,676.37

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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.