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Finding the Fourth Proportional to 11,242.92, 16,864.32 and 3,847.44

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Solution

The fourth proportional to 11,242.92, 16,864.32 and 3,847.44 is: 5,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,242.92 : 16,864.32 = 3,847.44 : x
  2. Step 2: Convert to fraction form
    11,242.92/16,864.32 = 3,847.44/x
  3. Step 3: Cross multiply
    11,242.92x = 16,864.32 × 3,847.44
  4. Step 4: Simplify right side
    11,242.92x = 64,884,459.34
  5. Step 5: Solve for x
    x = 64,884,459.34/11,242.92
  6. Step 6: Final answer
    x = 5,771.14

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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.