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Finding the Fourth Proportional to 11,637.42, 17,467.08 and 7,744.56

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Solution

The fourth proportional to 11,637.42, 17,467.08 and 7,744.56 is: 11,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.42 : 17,467.08 = 7,744.56 : x
  2. Step 2: Convert to fraction form
    11,637.42/17,467.08 = 7,744.56/x
  3. Step 3: Cross multiply
    11,637.42x = 17,467.08 × 7,744.56
  4. Step 4: Simplify right side
    11,637.42x = 135,274,849.08
  5. Step 5: Solve for x
    x = 135,274,849.08/11,637.42
  6. Step 6: Final answer
    x = 11,624.13

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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.