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Finding the Fourth Proportional to 8,204.39, 12,308.53 and 2,657.73

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Solution

The fourth proportional to 8,204.39, 12,308.53 and 2,657.73 is: 3,987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.39 : 12,308.53 = 2,657.73 : x
  2. Step 2: Convert to fraction form
    8,204.39/12,308.53 = 2,657.73/x
  3. Step 3: Cross multiply
    8,204.39x = 12,308.53 × 2,657.73
  4. Step 4: Simplify right side
    8,204.39x = 32,712,687.89
  5. Step 5: Solve for x
    x = 32,712,687.89/8,204.39
  6. Step 6: Final answer
    x = 3,987.22

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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.