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Finding the Fourth Proportional to 8,217.96, 12,333.82 and 4,271.64

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Solution

The fourth proportional to 8,217.96, 12,333.82 and 4,271.64 is: 6,411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217.96 : 12,333.82 = 4,271.64 : x
  2. Step 2: Convert to fraction form
    8,217.96/12,333.82 = 4,271.64/x
  3. Step 3: Cross multiply
    8,217.96x = 12,333.82 × 4,271.64
  4. Step 4: Simplify right side
    8,217.96x = 52,685,638.86
  5. Step 5: Solve for x
    x = 52,685,638.86/8,217.96
  6. Step 6: Final answer
    x = 6,411.04

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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.