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Finding the Fourth Proportional to 8,297.11, 12,446.16 and 2,750.95

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Solution

The fourth proportional to 8,297.11, 12,446.16 and 2,750.95 is: 4,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.11 : 12,446.16 = 2,750.95 : x
  2. Step 2: Convert to fraction form
    8,297.11/12,446.16 = 2,750.95/x
  3. Step 3: Cross multiply
    8,297.11x = 12,446.16 × 2,750.95
  4. Step 4: Simplify right side
    8,297.11x = 34,238,763.85
  5. Step 5: Solve for x
    x = 34,238,763.85/8,297.11
  6. Step 6: Final answer
    x = 4,126.59

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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.