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Finding the Fourth Proportional to 11,145, 16,725.18 and 3,849

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Solution

The fourth proportional to 11,145, 16,725.18 and 3,849 is: 5,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145 : 16,725.18 = 3,849 : x
  2. Step 2: Convert to fraction form
    11,145/16,725.18 = 3,849/x
  3. Step 3: Cross multiply
    11,145x = 16,725.18 × 3,849
  4. Step 4: Simplify right side
    11,145x = 64,375,217.82
  5. Step 5: Solve for x
    x = 64,375,217.82/11,145
  6. Step 6: Final answer
    x = 5,776.15

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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.