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Finding the Fourth Proportional to 11,654.81, 16,083.95 and 6,618.84

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Solution

The fourth proportional to 11,654.81, 16,083.95 and 6,618.84 is: 9,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.81 : 16,083.95 = 6,618.84 : x
  2. Step 2: Convert to fraction form
    11,654.81/16,083.95 = 6,618.84/x
  3. Step 3: Cross multiply
    11,654.81x = 16,083.95 × 6,618.84
  4. Step 4: Simplify right side
    11,654.81x = 106,457,091.62
  5. Step 5: Solve for x
    x = 106,457,091.62/11,654.81
  6. Step 6: Final answer
    x = 9,134.18

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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.