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Finding the Fourth Proportional to 11,593.31, 17,389.95 and 2,828.21

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Solution

The fourth proportional to 11,593.31, 17,389.95 and 2,828.21 is: 4,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,593.31 : 17,389.95 = 2,828.21 : x
  2. Step 2: Convert to fraction form
    11,593.31/17,389.95 = 2,828.21/x
  3. Step 3: Cross multiply
    11,593.31x = 17,389.95 × 2,828.21
  4. Step 4: Simplify right side
    11,593.31x = 49,182,343.54
  5. Step 5: Solve for x
    x = 49,182,343.54/11,593.31
  6. Step 6: Final answer
    x = 4,242.31

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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.