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Finding the Fourth Proportional to 8,264.17, 11,404.49 and 4,487.26

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Solution

The fourth proportional to 8,264.17, 11,404.49 and 4,487.26 is: 6,192.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.17 : 11,404.49 = 4,487.26 : x
  2. Step 2: Convert to fraction form
    8,264.17/11,404.49 = 4,487.26/x
  3. Step 3: Cross multiply
    8,264.17x = 11,404.49 × 4,487.26
  4. Step 4: Simplify right side
    8,264.17x = 51,174,889.36
  5. Step 5: Solve for x
    x = 51,174,889.36/8,264.17
  6. Step 6: Final answer
    x = 6,192.38

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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.