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Finding the Fourth Proportional to 8,109.70, 12,142.58 and 4,205.92

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Solution

The fourth proportional to 8,109.70, 12,142.58 and 4,205.92 is: 6,297.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.70 : 12,142.58 = 4,205.92 : x
  2. Step 2: Convert to fraction form
    8,109.70/12,142.58 = 4,205.92/x
  3. Step 3: Cross multiply
    8,109.70x = 12,142.58 × 4,205.92
  4. Step 4: Simplify right side
    8,109.70x = 51,070,720.07
  5. Step 5: Solve for x
    x = 51,070,720.07/8,109.70
  6. Step 6: Final answer
    x = 6,297.49

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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.