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Finding the Fourth Proportional to 8,282.44, 12,407.26 and 5,362.80

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Solution

The fourth proportional to 8,282.44, 12,407.26 and 5,362.80 is: 8,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.44 : 12,407.26 = 5,362.80 : x
  2. Step 2: Convert to fraction form
    8,282.44/12,407.26 = 5,362.80/x
  3. Step 3: Cross multiply
    8,282.44x = 12,407.26 × 5,362.80
  4. Step 4: Simplify right side
    8,282.44x = 66,537,653.93
  5. Step 5: Solve for x
    x = 66,537,653.93/8,282.44
  6. Step 6: Final answer
    x = 8,033.58

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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.