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Finding the Fourth Proportional to 11,827.92, 17,739.96 and 3,618

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Solution

The fourth proportional to 11,827.92, 17,739.96 and 3,618 is: 5,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.92 : 17,739.96 = 3,618 : x
  2. Step 2: Convert to fraction form
    11,827.92/17,739.96 = 3,618/x
  3. Step 3: Cross multiply
    11,827.92x = 17,739.96 × 3,618
  4. Step 4: Simplify right side
    11,827.92x = 64,183,175.28
  5. Step 5: Solve for x
    x = 64,183,175.28/11,827.92
  6. Step 6: Final answer
    x = 5,426.41

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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.