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Finding the Fourth Proportional to 8,204.52, 12,308.31 and 2,657.37

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Solution

The fourth proportional to 8,204.52, 12,308.31 and 2,657.37 is: 3,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,204.52 : 12,308.31 = 2,657.37 : x
  2. Step 2: Convert to fraction form
    8,204.52/12,308.31 = 2,657.37/x
  3. Step 3: Cross multiply
    8,204.52x = 12,308.31 × 2,657.37
  4. Step 4: Simplify right side
    8,204.52x = 32,707,733.74
  5. Step 5: Solve for x
    x = 32,707,733.74/8,204.52
  6. Step 6: Final answer
    x = 3,986.55

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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.