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Finding the Fourth Proportional to 10,200.33, 14,077.85 and 5,724.34

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Solution

The fourth proportional to 10,200.33, 14,077.85 and 5,724.34 is: 7,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.33 : 14,077.85 = 5,724.34 : x
  2. Step 2: Convert to fraction form
    10,200.33/14,077.85 = 5,724.34/x
  3. Step 3: Cross multiply
    10,200.33x = 14,077.85 × 5,724.34
  4. Step 4: Simplify right side
    10,200.33x = 80,586,447.44
  5. Step 5: Solve for x
    x = 80,586,447.44/10,200.33
  6. Step 6: Final answer
    x = 7,900.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.