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Finding the Fourth Proportional to 8,132.84, 12,200.07 and 2,209.82

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Solution

The fourth proportional to 8,132.84, 12,200.07 and 2,209.82 is: 3,314.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.84 : 12,200.07 = 2,209.82 : x
  2. Step 2: Convert to fraction form
    8,132.84/12,200.07 = 2,209.82/x
  3. Step 3: Cross multiply
    8,132.84x = 12,200.07 × 2,209.82
  4. Step 4: Simplify right side
    8,132.84x = 26,959,905.97
  5. Step 5: Solve for x
    x = 26,959,905.97/8,132.84
  6. Step 6: Final answer
    x = 3,314.94

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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.