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Finding the Fourth Proportional to 10,680.34, 14,736.62 and 6,201.78

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Solution

The fourth proportional to 10,680.34, 14,736.62 and 6,201.78 is: 8,557.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,680.34 : 14,736.62 = 6,201.78 : x
  2. Step 2: Convert to fraction form
    10,680.34/14,736.62 = 6,201.78/x
  3. Step 3: Cross multiply
    10,680.34x = 14,736.62 × 6,201.78
  4. Step 4: Simplify right side
    10,680.34x = 91,393,247.43
  5. Step 5: Solve for x
    x = 91,393,247.43/10,680.34
  6. Step 6: Final answer
    x = 8,557.14

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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.