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Finding the Fourth Proportional to 11,646.72, 17,472.81 and 3,326.86

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Solution

The fourth proportional to 11,646.72, 17,472.81 and 3,326.86 is: 4,991.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.72 : 17,472.81 = 3,326.86 : x
  2. Step 2: Convert to fraction form
    11,646.72/17,472.81 = 3,326.86/x
  3. Step 3: Cross multiply
    11,646.72x = 17,472.81 × 3,326.86
  4. Step 4: Simplify right side
    11,646.72x = 58,129,505.31
  5. Step 5: Solve for x
    x = 58,129,505.31/11,646.72
  6. Step 6: Final answer
    x = 4,991.06

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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.