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Finding the Fourth Proportional to 11,581.54, 17,381.28 and 5,344.24

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Solution

The fourth proportional to 11,581.54, 17,381.28 and 5,344.24 is: 8,020.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,581.54 : 17,381.28 = 5,344.24 : x
  2. Step 2: Convert to fraction form
    11,581.54/17,381.28 = 5,344.24/x
  3. Step 3: Cross multiply
    11,581.54x = 17,381.28 × 5,344.24
  4. Step 4: Simplify right side
    11,581.54x = 92,889,731.83
  5. Step 5: Solve for x
    x = 92,889,731.83/11,581.54
  6. Step 6: Final answer
    x = 8,020.50

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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.