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Finding the Fourth Proportional to 8,109.35, 12,142.01 and 4,205.55

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Solution

The fourth proportional to 8,109.35, 12,142.01 and 4,205.55 is: 6,296.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.35 : 12,142.01 = 4,205.55 : x
  2. Step 2: Convert to fraction form
    8,109.35/12,142.01 = 4,205.55/x
  3. Step 3: Cross multiply
    8,109.35x = 12,142.01 × 4,205.55
  4. Step 4: Simplify right side
    8,109.35x = 51,063,809.13
  5. Step 5: Solve for x
    x = 51,063,809.13/8,109.35
  6. Step 6: Final answer
    x = 6,296.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.