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Finding the Fourth Proportional to 8,343.63, 12,517.94 and 4,832.82

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Solution

The fourth proportional to 8,343.63, 12,517.94 and 4,832.82 is: 7,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.63 : 12,517.94 = 4,832.82 : x
  2. Step 2: Convert to fraction form
    8,343.63/12,517.94 = 4,832.82/x
  3. Step 3: Cross multiply
    8,343.63x = 12,517.94 × 4,832.82
  4. Step 4: Simplify right side
    8,343.63x = 60,496,950.79
  5. Step 5: Solve for x
    x = 60,496,950.79/8,343.63
  6. Step 6: Final answer
    x = 7,250.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.