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Finding the Fourth Proportional to 7,952.50, 11,929.20 and 2,109.16

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Solution

The fourth proportional to 7,952.50, 11,929.20 and 2,109.16 is: 3,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.50 : 11,929.20 = 2,109.16 : x
  2. Step 2: Convert to fraction form
    7,952.50/11,929.20 = 2,109.16/x
  3. Step 3: Cross multiply
    7,952.50x = 11,929.20 × 2,109.16
  4. Step 4: Simplify right side
    7,952.50x = 25,160,591.47
  5. Step 5: Solve for x
    x = 25,160,591.47/7,952.50
  6. Step 6: Final answer
    x = 3,163.86

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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.