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Finding the Fourth Proportional to 8,508.34, 12,768.28 and 2,961.66

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Solution

The fourth proportional to 8,508.34, 12,768.28 and 2,961.66 is: 4,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,508.34 : 12,768.28 = 2,961.66 : x
  2. Step 2: Convert to fraction form
    8,508.34/12,768.28 = 2,961.66/x
  3. Step 3: Cross multiply
    8,508.34x = 12,768.28 × 2,961.66
  4. Step 4: Simplify right side
    8,508.34x = 37,815,361.28
  5. Step 5: Solve for x
    x = 37,815,361.28/8,508.34
  6. Step 6: Final answer
    x = 4,444.50

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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.