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Finding the Fourth Proportional to 11,638.01, 17,446.42 and 4,240.78

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Solution

The fourth proportional to 11,638.01, 17,446.42 and 4,240.78 is: 6,357.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.01 : 17,446.42 = 4,240.78 : x
  2. Step 2: Convert to fraction form
    11,638.01/17,446.42 = 4,240.78/x
  3. Step 3: Cross multiply
    11,638.01x = 17,446.42 × 4,240.78
  4. Step 4: Simplify right side
    11,638.01x = 73,986,374.79
  5. Step 5: Solve for x
    x = 73,986,374.79/11,638.01
  6. Step 6: Final answer
    x = 6,357.31

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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.