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Finding the Fourth Proportional to 8,427.76, 12,636.24 and 3,500.80

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Solution

The fourth proportional to 8,427.76, 12,636.24 and 3,500.80 is: 5,248.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.76 : 12,636.24 = 3,500.80 : x
  2. Step 2: Convert to fraction form
    8,427.76/12,636.24 = 3,500.80/x
  3. Step 3: Cross multiply
    8,427.76x = 12,636.24 × 3,500.80
  4. Step 4: Simplify right side
    8,427.76x = 44,236,948.99
  5. Step 5: Solve for x
    x = 44,236,948.99/8,427.76
  6. Step 6: Final answer
    x = 5,248.96

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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.