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Finding the Fourth Proportional to 11,654.82, 16,083.71 and 6,349.63

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Solution

The fourth proportional to 11,654.82, 16,083.71 and 6,349.63 is: 8,762.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.82 : 16,083.71 = 6,349.63 : x
  2. Step 2: Convert to fraction form
    11,654.82/16,083.71 = 6,349.63/x
  3. Step 3: Cross multiply
    11,654.82x = 16,083.71 × 6,349.63
  4. Step 4: Simplify right side
    11,654.82x = 102,125,607.53
  5. Step 5: Solve for x
    x = 102,125,607.53/11,654.82
  6. Step 6: Final answer
    x = 8,762.52

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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.