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Finding the Fourth Proportional to 8,265.26, 12,382.26 and 6,407.27

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Solution

The fourth proportional to 8,265.26, 12,382.26 and 6,407.27 is: 9,598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.26 : 12,382.26 = 6,407.27 : x
  2. Step 2: Convert to fraction form
    8,265.26/12,382.26 = 6,407.27/x
  3. Step 3: Cross multiply
    8,265.26x = 12,382.26 × 6,407.27
  4. Step 4: Simplify right side
    8,265.26x = 79,336,450.99
  5. Step 5: Solve for x
    x = 79,336,450.99/8,265.26
  6. Step 6: Final answer
    x = 9,598.78

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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.