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Finding the Fourth Proportional to 7,184.79, 10,767.87 and 3,481.88

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Solution

The fourth proportional to 7,184.79, 10,767.87 and 3,481.88 is: 5,218.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.79 : 10,767.87 = 3,481.88 : x
  2. Step 2: Convert to fraction form
    7,184.79/10,767.87 = 3,481.88/x
  3. Step 3: Cross multiply
    7,184.79x = 10,767.87 × 3,481.88
  4. Step 4: Simplify right side
    7,184.79x = 37,492,377.36
  5. Step 5: Solve for x
    x = 37,492,377.36/7,184.79
  6. Step 6: Final answer
    x = 5,218.30

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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.