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Finding the Fourth Proportional to 8,295.11, 12,442.82 and 2,748.48

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Solution

The fourth proportional to 8,295.11, 12,442.82 and 2,748.48 is: 4,122.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295.11 : 12,442.82 = 2,748.48 : x
  2. Step 2: Convert to fraction form
    8,295.11/12,442.82 = 2,748.48/x
  3. Step 3: Cross multiply
    8,295.11x = 12,442.82 × 2,748.48
  4. Step 4: Simplify right side
    8,295.11x = 34,198,851.50
  5. Step 5: Solve for x
    x = 34,198,851.50/8,295.11
  6. Step 6: Final answer
    x = 4,122.77

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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.