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Finding the Fourth Proportional to 10,790.42, 16,192.10 and 3,865.46

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Solution

The fourth proportional to 10,790.42, 16,192.10 and 3,865.46 is: 5,800.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,790.42 : 16,192.10 = 3,865.46 : x
  2. Step 2: Convert to fraction form
    10,790.42/16,192.10 = 3,865.46/x
  3. Step 3: Cross multiply
    10,790.42x = 16,192.10 × 3,865.46
  4. Step 4: Simplify right side
    10,790.42x = 62,589,843.57
  5. Step 5: Solve for x
    x = 62,589,843.57/10,790.42
  6. Step 6: Final answer
    x = 5,800.50

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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.