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Finding the Fourth Proportional to 8,384.46, 12,567.87 and 2,832.54

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Solution

The fourth proportional to 8,384.46, 12,567.87 and 2,832.54 is: 4,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.46 : 12,567.87 = 2,832.54 : x
  2. Step 2: Convert to fraction form
    8,384.46/12,567.87 = 2,832.54/x
  3. Step 3: Cross multiply
    8,384.46x = 12,567.87 × 2,832.54
  4. Step 4: Simplify right side
    8,384.46x = 35,598,994.49
  5. Step 5: Solve for x
    x = 35,598,994.49/8,384.46
  6. Step 6: Final answer
    x = 4,245.83

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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.