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Finding the Fourth Proportional to 8,387.09, 12,580.63 and 2,147.09

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Solution

The fourth proportional to 8,387.09, 12,580.63 and 2,147.09 is: 3,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,387.09 : 12,580.63 = 2,147.09 : x
  2. Step 2: Convert to fraction form
    8,387.09/12,580.63 = 2,147.09/x
  3. Step 3: Cross multiply
    8,387.09x = 12,580.63 × 2,147.09
  4. Step 4: Simplify right side
    8,387.09x = 27,011,770.95
  5. Step 5: Solve for x
    x = 27,011,770.95/8,387.09
  6. Step 6: Final answer
    x = 3,220.64

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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.