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Finding the Fourth Proportional to 12,816.78, 17,687.61 and 7,511.28

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Solution

The fourth proportional to 12,816.78, 17,687.61 and 7,511.28 is: 10,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.78 : 17,687.61 = 7,511.28 : x
  2. Step 2: Convert to fraction form
    12,816.78/17,687.61 = 7,511.28/x
  3. Step 3: Cross multiply
    12,816.78x = 17,687.61 × 7,511.28
  4. Step 4: Simplify right side
    12,816.78x = 132,856,591.24
  5. Step 5: Solve for x
    x = 132,856,591.24/12,816.78
  6. Step 6: Final answer
    x = 10,365.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.