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Finding the Fourth Proportional to 8,450.46, 12,678.57 and 4,759.92

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Solution

The fourth proportional to 8,450.46, 12,678.57 and 4,759.92 is: 7,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.46 : 12,678.57 = 4,759.92 : x
  2. Step 2: Convert to fraction form
    8,450.46/12,678.57 = 4,759.92/x
  3. Step 3: Cross multiply
    8,450.46x = 12,678.57 × 4,759.92
  4. Step 4: Simplify right side
    8,450.46x = 60,348,978.91
  5. Step 5: Solve for x
    x = 60,348,978.91/8,450.46
  6. Step 6: Final answer
    x = 7,141.50

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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.