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Finding the Fourth Proportional to 11,654.94, 16,083.36 and 6,349.62

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Solution

The fourth proportional to 11,654.94, 16,083.36 and 6,349.62 is: 8,762.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.94 : 16,083.36 = 6,349.62 : x
  2. Step 2: Convert to fraction form
    11,654.94/16,083.36 = 6,349.62/x
  3. Step 3: Cross multiply
    11,654.94x = 16,083.36 × 6,349.62
  4. Step 4: Simplify right side
    11,654.94x = 102,123,224.32
  5. Step 5: Solve for x
    x = 102,123,224.32/11,654.94
  6. Step 6: Final answer
    x = 8,762.23

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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.