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Finding the Fourth Proportional to 8,139.13, 12,203.08 and 3,209.33

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Solution

The fourth proportional to 8,139.13, 12,203.08 and 3,209.33 is: 4,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.13 : 12,203.08 = 3,209.33 : x
  2. Step 2: Convert to fraction form
    8,139.13/12,203.08 = 3,209.33/x
  3. Step 3: Cross multiply
    8,139.13x = 12,203.08 × 3,209.33
  4. Step 4: Simplify right side
    8,139.13x = 39,163,710.74
  5. Step 5: Solve for x
    x = 39,163,710.74/8,139.13
  6. Step 6: Final answer
    x = 4,811.78

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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.