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Finding the Fourth Proportional to 11,637, 17,449.56 and 3,843

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Solution

The fourth proportional to 11,637, 17,449.56 and 3,843 is: 5,762.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637 : 17,449.56 = 3,843 : x
  2. Step 2: Convert to fraction form
    11,637/17,449.56 = 3,843/x
  3. Step 3: Cross multiply
    11,637x = 17,449.56 × 3,843
  4. Step 4: Simplify right side
    11,637x = 67,058,659.08
  5. Step 5: Solve for x
    x = 67,058,659.08/11,637
  6. Step 6: Final answer
    x = 5,762.54

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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.