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Finding the Fourth Proportional to 7,827.99, 11,742.39 and 3,824.16

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Solution

The fourth proportional to 7,827.99, 11,742.39 and 3,824.16 is: 5,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.99 : 11,742.39 = 3,824.16 : x
  2. Step 2: Convert to fraction form
    7,827.99/11,742.39 = 3,824.16/x
  3. Step 3: Cross multiply
    7,827.99x = 11,742.39 × 3,824.16
  4. Step 4: Simplify right side
    7,827.99x = 44,904,778.14
  5. Step 5: Solve for x
    x = 44,904,778.14/7,827.99
  6. Step 6: Final answer
    x = 5,736.44

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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.