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Finding the Fourth Proportional to 8,419.85, 12,633.41 and 4,519.70

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Solution

The fourth proportional to 8,419.85, 12,633.41 and 4,519.70 is: 6,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.85 : 12,633.41 = 4,519.70 : x
  2. Step 2: Convert to fraction form
    8,419.85/12,633.41 = 4,519.70/x
  3. Step 3: Cross multiply
    8,419.85x = 12,633.41 × 4,519.70
  4. Step 4: Simplify right side
    8,419.85x = 57,099,171.31
  5. Step 5: Solve for x
    x = 57,099,171.31/8,419.85
  6. Step 6: Final answer
    x = 6,781.50

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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.