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Finding the Fourth Proportional to 8,539.68, 12,813.47 and 3,272.96

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Solution

The fourth proportional to 8,539.68, 12,813.47 and 3,272.96 is: 4,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.68 : 12,813.47 = 3,272.96 : x
  2. Step 2: Convert to fraction form
    8,539.68/12,813.47 = 3,272.96/x
  3. Step 3: Cross multiply
    8,539.68x = 12,813.47 × 3,272.96
  4. Step 4: Simplify right side
    8,539.68x = 41,937,921.43
  5. Step 5: Solve for x
    x = 41,937,921.43/8,539.68
  6. Step 6: Final answer
    x = 4,910.95

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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.