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Finding the Fourth Proportional to 11,249.16, 16,884.04 and 5,706.34

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Solution

The fourth proportional to 11,249.16, 16,884.04 and 5,706.34 is: 8,564.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,249.16 : 16,884.04 = 5,706.34 : x
  2. Step 2: Convert to fraction form
    11,249.16/16,884.04 = 5,706.34/x
  3. Step 3: Cross multiply
    11,249.16x = 16,884.04 × 5,706.34
  4. Step 4: Simplify right side
    11,249.16x = 96,346,072.81
  5. Step 5: Solve for x
    x = 96,346,072.81/11,249.16
  6. Step 6: Final answer
    x = 8,564.73

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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.