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Finding the Fourth Proportional to 10,819.79, 16,232.12 and 3,424.70

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Solution

The fourth proportional to 10,819.79, 16,232.12 and 3,424.70 is: 5,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,819.79 : 16,232.12 = 3,424.70 : x
  2. Step 2: Convert to fraction form
    10,819.79/16,232.12 = 3,424.70/x
  3. Step 3: Cross multiply
    10,819.79x = 16,232.12 × 3,424.70
  4. Step 4: Simplify right side
    10,819.79x = 55,590,043.08
  5. Step 5: Solve for x
    x = 55,590,043.08/10,819.79
  6. Step 6: Final answer
    x = 5,137.81

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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.