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Finding the Fourth Proportional to 11,953.82, 17,911.99 and 7,562

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Solution

The fourth proportional to 11,953.82, 17,911.99 and 7,562 is: 11,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,953.82 : 17,911.99 = 7,562 : x
  2. Step 2: Convert to fraction form
    11,953.82/17,911.99 = 7,562/x
  3. Step 3: Cross multiply
    11,953.82x = 17,911.99 × 7,562
  4. Step 4: Simplify right side
    11,953.82x = 135,450,468.38
  5. Step 5: Solve for x
    x = 135,450,468.38/11,953.82
  6. Step 6: Final answer
    x = 11,331.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.