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Finding the Fourth Proportional to 8,039.44, 12,039.72 and 6,950.80

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Solution

The fourth proportional to 8,039.44, 12,039.72 and 6,950.80 is: 10,409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.44 : 12,039.72 = 6,950.80 : x
  2. Step 2: Convert to fraction form
    8,039.44/12,039.72 = 6,950.80/x
  3. Step 3: Cross multiply
    8,039.44x = 12,039.72 × 6,950.80
  4. Step 4: Simplify right side
    8,039.44x = 83,685,685.78
  5. Step 5: Solve for x
    x = 83,685,685.78/8,039.44
  6. Step 6: Final answer
    x = 10,409.39

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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.