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Finding the Fourth Proportional to 11,635.84, 16,057.54 and 6,330.64

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Solution

The fourth proportional to 11,635.84, 16,057.54 and 6,330.64 is: 8,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.84 : 16,057.54 = 6,330.64 : x
  2. Step 2: Convert to fraction form
    11,635.84/16,057.54 = 6,330.64/x
  3. Step 3: Cross multiply
    11,635.84x = 16,057.54 × 6,330.64
  4. Step 4: Simplify right side
    11,635.84x = 101,654,505.03
  5. Step 5: Solve for x
    x = 101,654,505.03/11,635.84
  6. Step 6: Final answer
    x = 8,736.33

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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.