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Finding the Fourth Proportional to 11,508.14, 17,264.75 and 6,832.42

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Solution

The fourth proportional to 11,508.14, 17,264.75 and 6,832.42 is: 10,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.14 : 17,264.75 = 6,832.42 : x
  2. Step 2: Convert to fraction form
    11,508.14/17,264.75 = 6,832.42/x
  3. Step 3: Cross multiply
    11,508.14x = 17,264.75 × 6,832.42
  4. Step 4: Simplify right side
    11,508.14x = 117,959,945.87
  5. Step 5: Solve for x
    x = 117,959,945.87/11,508.14
  6. Step 6: Final answer
    x = 10,250.13

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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.