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Finding the Fourth Proportional to 11,872.08, 17,802.92 and 5,633.89

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Solution

The fourth proportional to 11,872.08, 17,802.92 and 5,633.89 is: 8,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.08 : 17,802.92 = 5,633.89 : x
  2. Step 2: Convert to fraction form
    11,872.08/17,802.92 = 5,633.89/x
  3. Step 3: Cross multiply
    11,872.08x = 17,802.92 × 5,633.89
  4. Step 4: Simplify right side
    11,872.08x = 100,299,662.54
  5. Step 5: Solve for x
    x = 100,299,662.54/11,872.08
  6. Step 6: Final answer
    x = 8,448.36

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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.