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Finding the Fourth Proportional to 7,952.70, 11,930.34 and 2,687.20

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Solution

The fourth proportional to 7,952.70, 11,930.34 and 2,687.20 is: 4,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.70 : 11,930.34 = 2,687.20 : x
  2. Step 2: Convert to fraction form
    7,952.70/11,930.34 = 2,687.20/x
  3. Step 3: Cross multiply
    7,952.70x = 11,930.34 × 2,687.20
  4. Step 4: Simplify right side
    7,952.70x = 32,059,209.65
  5. Step 5: Solve for x
    x = 32,059,209.65/7,952.70
  6. Step 6: Final answer
    x = 4,031.24

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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.