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Finding the Fourth Proportional to 8,511.84, 12,761.60 and 2,665.28

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Solution

The fourth proportional to 8,511.84, 12,761.60 and 2,665.28 is: 3,995.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.84 : 12,761.60 = 2,665.28 : x
  2. Step 2: Convert to fraction form
    8,511.84/12,761.60 = 2,665.28/x
  3. Step 3: Cross multiply
    8,511.84x = 12,761.60 × 2,665.28
  4. Step 4: Simplify right side
    8,511.84x = 34,013,237.25
  5. Step 5: Solve for x
    x = 34,013,237.25/8,511.84
  6. Step 6: Final answer
    x = 3,995.99

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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.