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Finding the Fourth Proportional to 10,680.54, 14,735.92 and 6,203.42

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Solution

The fourth proportional to 10,680.54, 14,735.92 and 6,203.42 is: 8,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.54 : 14,735.92 = 6,203.42 : x
  2. Step 2: Convert to fraction form
    10,680.54/14,735.92 = 6,203.42/x
  3. Step 3: Cross multiply
    10,680.54x = 14,735.92 × 6,203.42
  4. Step 4: Simplify right side
    10,680.54x = 91,413,100.85
  5. Step 5: Solve for x
    x = 91,413,100.85/10,680.54
  6. Step 6: Final answer
    x = 8,558.85

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