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Finding the Fourth Proportional to 10,449.44, 15,672.44 and 3,874.08

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Solution

The fourth proportional to 10,449.44, 15,672.44 and 3,874.08 is: 5,810.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.44 : 15,672.44 = 3,874.08 : x
  2. Step 2: Convert to fraction form
    10,449.44/15,672.44 = 3,874.08/x
  3. Step 3: Cross multiply
    10,449.44x = 15,672.44 × 3,874.08
  4. Step 4: Simplify right side
    10,449.44x = 60,716,286.36
  5. Step 5: Solve for x
    x = 60,716,286.36/10,449.44
  6. Step 6: Final answer
    x = 5,810.48

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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.