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Finding the Fourth Proportional to 11,599, 17,384.23 and 5,350.33

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Solution

The fourth proportional to 11,599, 17,384.23 and 5,350.33 is: 8,018.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599 : 17,384.23 = 5,350.33 : x
  2. Step 2: Convert to fraction form
    11,599/17,384.23 = 5,350.33/x
  3. Step 3: Cross multiply
    11,599x = 17,384.23 × 5,350.33
  4. Step 4: Simplify right side
    11,599x = 93,011,367.30
  5. Step 5: Solve for x
    x = 93,011,367.30/11,599
  6. Step 6: Final answer
    x = 8,018.91

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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.