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Finding the Fourth Proportional to 8,269.68, 12,382.44 and 6,957.48

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Solution

The fourth proportional to 8,269.68, 12,382.44 and 6,957.48 is: 10,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.68 : 12,382.44 = 6,957.48 : x
  2. Step 2: Convert to fraction form
    8,269.68/12,382.44 = 6,957.48/x
  3. Step 3: Cross multiply
    8,269.68x = 12,382.44 × 6,957.48
  4. Step 4: Simplify right side
    8,269.68x = 86,150,578.65
  5. Step 5: Solve for x
    x = 86,150,578.65/8,269.68
  6. Step 6: Final answer
    x = 10,417.64

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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.