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Finding the Fourth Proportional to 8,218.42, 12,328.31 and 2,671.64

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Solution

The fourth proportional to 8,218.42, 12,328.31 and 2,671.64 is: 4,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.42 : 12,328.31 = 2,671.64 : x
  2. Step 2: Convert to fraction form
    8,218.42/12,328.31 = 2,671.64/x
  3. Step 3: Cross multiply
    8,218.42x = 12,328.31 × 2,671.64
  4. Step 4: Simplify right side
    8,218.42x = 32,936,792.77
  5. Step 5: Solve for x
    x = 32,936,792.77/8,218.42
  6. Step 6: Final answer
    x = 4,007.68

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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.