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Finding the Fourth Proportional to 11,654.81, 17,468.64 and 6,660.68

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Solution

The fourth proportional to 11,654.81, 17,468.64 and 6,660.68 is: 9,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,654.81 : 17,468.64 = 6,660.68 : x
  2. Step 2: Convert to fraction form
    11,654.81/17,468.64 = 6,660.68/x
  3. Step 3: Cross multiply
    11,654.81x = 17,468.64 × 6,660.68
  4. Step 4: Simplify right side
    11,654.81x = 116,353,021.08
  5. Step 5: Solve for x
    x = 116,353,021.08/11,654.81
  6. Step 6: Final answer
    x = 9,983.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.