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Finding the Fourth Proportional to 8,212.68, 12,329.97 and 6,987.96

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Solution

The fourth proportional to 8,212.68, 12,329.97 and 6,987.96 is: 10,491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,212.68 : 12,329.97 = 6,987.96 : x
  2. Step 2: Convert to fraction form
    8,212.68/12,329.97 = 6,987.96/x
  3. Step 3: Cross multiply
    8,212.68x = 12,329.97 × 6,987.96
  4. Step 4: Simplify right side
    8,212.68x = 86,161,337.16
  5. Step 5: Solve for x
    x = 86,161,337.16/8,212.68
  6. Step 6: Final answer
    x = 10,491.26

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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.