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Finding the Fourth Proportional to 8,975.14, 13,464.84 and 2,819.14

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Solution

The fourth proportional to 8,975.14, 13,464.84 and 2,819.14 is: 4,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.14 : 13,464.84 = 2,819.14 : x
  2. Step 2: Convert to fraction form
    8,975.14/13,464.84 = 2,819.14/x
  3. Step 3: Cross multiply
    8,975.14x = 13,464.84 × 2,819.14
  4. Step 4: Simplify right side
    8,975.14x = 37,959,269.04
  5. Step 5: Solve for x
    x = 37,959,269.04/8,975.14
  6. Step 6: Final answer
    x = 4,229.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.