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Finding the Fourth Proportional to 11,654.75, 16,083.83 and 6,618.17

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Solution

The fourth proportional to 11,654.75, 16,083.83 and 6,618.17 is: 9,133.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.75 : 16,083.83 = 6,618.17 : x
  2. Step 2: Convert to fraction form
    11,654.75/16,083.83 = 6,618.17/x
  3. Step 3: Cross multiply
    11,654.75x = 16,083.83 × 6,618.17
  4. Step 4: Simplify right side
    11,654.75x = 106,445,521.19
  5. Step 5: Solve for x
    x = 106,445,521.19/11,654.75
  6. Step 6: Final answer
    x = 9,133.23

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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.