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Finding the Fourth Proportional to 11,654.40, 16,083.03 and 6,349.08

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Solution

The fourth proportional to 11,654.40, 16,083.03 and 6,349.08 is: 8,761.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.40 : 16,083.03 = 6,349.08 : x
  2. Step 2: Convert to fraction form
    11,654.40/16,083.03 = 6,349.08/x
  3. Step 3: Cross multiply
    11,654.40x = 16,083.03 × 6,349.08
  4. Step 4: Simplify right side
    11,654.40x = 102,112,444.11
  5. Step 5: Solve for x
    x = 102,112,444.11/11,654.40
  6. Step 6: Final answer
    x = 8,761.71

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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.