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Finding the Fourth Proportional to 11,264.36, 15,545.24 and 7,481

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Solution

The fourth proportional to 11,264.36, 15,545.24 and 7,481 is: 10,324.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,264.36 : 15,545.24 = 7,481 : x
  2. Step 2: Convert to fraction form
    11,264.36/15,545.24 = 7,481/x
  3. Step 3: Cross multiply
    11,264.36x = 15,545.24 × 7,481
  4. Step 4: Simplify right side
    11,264.36x = 116,293,940.44
  5. Step 5: Solve for x
    x = 116,293,940.44/11,264.36
  6. Step 6: Final answer
    x = 10,324.06

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Why These Related Problems?

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