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Finding the Fourth Proportional to 8,275.62, 12,414.79 and 2,729.30

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Solution

The fourth proportional to 8,275.62, 12,414.79 and 2,729.30 is: 4,094.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.62 : 12,414.79 = 2,729.30 : x
  2. Step 2: Convert to fraction form
    8,275.62/12,414.79 = 2,729.30/x
  3. Step 3: Cross multiply
    8,275.62x = 12,414.79 × 2,729.30
  4. Step 4: Simplify right side
    8,275.62x = 33,883,624.27
  5. Step 5: Solve for x
    x = 33,883,624.27/8,275.62
  6. Step 6: Final answer
    x = 4,094.39

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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.