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Finding the Fourth Proportional to 8,270.91, 12,411.29 and 3,006.33

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Solution

The fourth proportional to 8,270.91, 12,411.29 and 3,006.33 is: 4,511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.91 : 12,411.29 = 3,006.33 : x
  2. Step 2: Convert to fraction form
    8,270.91/12,411.29 = 3,006.33/x
  3. Step 3: Cross multiply
    8,270.91x = 12,411.29 × 3,006.33
  4. Step 4: Simplify right side
    8,270.91x = 37,312,418.43
  5. Step 5: Solve for x
    x = 37,312,418.43/8,270.91
  6. Step 6: Final answer
    x = 4,511.28

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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.