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Finding the Fourth Proportional to 8,212.87, 12,329.90 and 7,050.34

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Solution

The fourth proportional to 8,212.87, 12,329.90 and 7,050.34 is: 10,584.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.87 : 12,329.90 = 7,050.34 : x
  2. Step 2: Convert to fraction form
    8,212.87/12,329.90 = 7,050.34/x
  3. Step 3: Cross multiply
    8,212.87x = 12,329.90 × 7,050.34
  4. Step 4: Simplify right side
    8,212.87x = 86,929,973.94
  5. Step 5: Solve for x
    x = 86,929,973.94/8,212.87
  6. Step 6: Final answer
    x = 10,584.61

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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.