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Finding the Fourth Proportional to 11,709.52, 17,564.82 and 6,511.48

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Solution

The fourth proportional to 11,709.52, 17,564.82 and 6,511.48 is: 9,767.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,709.52 : 17,564.82 = 6,511.48 : x
  2. Step 2: Convert to fraction form
    11,709.52/17,564.82 = 6,511.48/x
  3. Step 3: Cross multiply
    11,709.52x = 17,564.82 × 6,511.48
  4. Step 4: Simplify right side
    11,709.52x = 114,372,974.13
  5. Step 5: Solve for x
    x = 114,372,974.13/11,709.52
  6. Step 6: Final answer
    x = 9,767.52

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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.