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Finding the Fourth Proportional to 11,872.88, 17,814.48 and 5,637.30

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Solution

The fourth proportional to 11,872.88, 17,814.48 and 5,637.30 is: 8,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.88 : 17,814.48 = 5,637.30 : x
  2. Step 2: Convert to fraction form
    11,872.88/17,814.48 = 5,637.30/x
  3. Step 3: Cross multiply
    11,872.88x = 17,814.48 × 5,637.30
  4. Step 4: Simplify right side
    11,872.88x = 100,425,511.87
  5. Step 5: Solve for x
    x = 100,425,511.87/11,872.88
  6. Step 6: Final answer
    x = 8,458.40

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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.