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Finding the Fourth Proportional to 10,744.80, 16,118.64 and 3,349.76

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Solution

The fourth proportional to 10,744.80, 16,118.64 and 3,349.76 is: 5,025.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,744.80 : 16,118.64 = 3,349.76 : x
  2. Step 2: Convert to fraction form
    10,744.80/16,118.64 = 3,349.76/x
  3. Step 3: Cross multiply
    10,744.80x = 16,118.64 × 3,349.76
  4. Step 4: Simplify right side
    10,744.80x = 53,993,575.53
  5. Step 5: Solve for x
    x = 53,993,575.53/10,744.80
  6. Step 6: Final answer
    x = 5,025.09

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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.