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Finding the Fourth Proportional to 10,685.44, 16,026.67 and 3,665.34

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Solution

The fourth proportional to 10,685.44, 16,026.67 and 3,665.34 is: 5,497.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.44 : 16,026.67 = 3,665.34 : x
  2. Step 2: Convert to fraction form
    10,685.44/16,026.67 = 3,665.34/x
  3. Step 3: Cross multiply
    10,685.44x = 16,026.67 × 3,665.34
  4. Step 4: Simplify right side
    10,685.44x = 58,743,194.62
  5. Step 5: Solve for x
    x = 58,743,194.62/10,685.44
  6. Step 6: Final answer
    x = 5,497.50

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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.