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Finding the Fourth Proportional to 11,653.86, 17,484.84 and 3,863.28

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Solution

The fourth proportional to 11,653.86, 17,484.84 and 3,863.28 is: 5,796.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.86 : 17,484.84 = 3,863.28 : x
  2. Step 2: Convert to fraction form
    11,653.86/17,484.84 = 3,863.28/x
  3. Step 3: Cross multiply
    11,653.86x = 17,484.84 × 3,863.28
  4. Step 4: Simplify right side
    11,653.86x = 67,548,832.68
  5. Step 5: Solve for x
    x = 67,548,832.68/11,653.86
  6. Step 6: Final answer
    x = 5,796.26

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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.