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Finding the Fourth Proportional to 8,463.21, 12,697.86 and 3,782.84

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Solution

The fourth proportional to 8,463.21, 12,697.86 and 3,782.84 is: 5,675.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.21 : 12,697.86 = 3,782.84 : x
  2. Step 2: Convert to fraction form
    8,463.21/12,697.86 = 3,782.84/x
  3. Step 3: Cross multiply
    8,463.21x = 12,697.86 × 3,782.84
  4. Step 4: Simplify right side
    8,463.21x = 48,033,909.23
  5. Step 5: Solve for x
    x = 48,033,909.23/8,463.21
  6. Step 6: Final answer
    x = 5,675.61

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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.