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Finding the Fourth Proportional to 8,272.81, 12,411.78 and 2,651.32

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Solution

The fourth proportional to 8,272.81, 12,411.78 and 2,651.32 is: 3,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,272.81 : 12,411.78 = 2,651.32 : x
  2. Step 2: Convert to fraction form
    8,272.81/12,411.78 = 2,651.32/x
  3. Step 3: Cross multiply
    8,272.81x = 12,411.78 × 2,651.32
  4. Step 4: Simplify right side
    8,272.81x = 32,907,600.55
  5. Step 5: Solve for x
    x = 32,907,600.55/8,272.81
  6. Step 6: Final answer
    x = 3,977.80

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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.