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Finding the Fourth Proportional to 11,960.16, 16,505.47 and 6,654.86

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Solution

The fourth proportional to 11,960.16, 16,505.47 and 6,654.86 is: 9,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.16 : 16,505.47 = 6,654.86 : x
  2. Step 2: Convert to fraction form
    11,960.16/16,505.47 = 6,654.86/x
  3. Step 3: Cross multiply
    11,960.16x = 16,505.47 × 6,654.86
  4. Step 4: Simplify right side
    11,960.16x = 109,841,579.77
  5. Step 5: Solve for x
    x = 109,841,579.77/11,960.16
  6. Step 6: Final answer
    x = 9,183.96

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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.