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Finding the Fourth Proportional to 10,738.93, 16,092.83 and 7,625.04

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Solution

The fourth proportional to 10,738.93, 16,092.83 and 7,625.04 is: 11,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,738.93 : 16,092.83 = 7,625.04 : x
  2. Step 2: Convert to fraction form
    10,738.93/16,092.83 = 7,625.04/x
  3. Step 3: Cross multiply
    10,738.93x = 16,092.83 × 7,625.04
  4. Step 4: Simplify right side
    10,738.93x = 122,708,388.29
  5. Step 5: Solve for x
    x = 122,708,388.29/10,738.93
  6. Step 6: Final answer
    x = 11,426.50

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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.