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Finding the Fourth Proportional to 11,756.44, 17,637.09 and 5,182.48

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Solution

The fourth proportional to 11,756.44, 17,637.09 and 5,182.48 is: 7,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.44 : 17,637.09 = 5,182.48 : x
  2. Step 2: Convert to fraction form
    11,756.44/17,637.09 = 5,182.48/x
  3. Step 3: Cross multiply
    11,756.44x = 17,637.09 × 5,182.48
  4. Step 4: Simplify right side
    11,756.44x = 91,403,866.18
  5. Step 5: Solve for x
    x = 91,403,866.18/11,756.44
  6. Step 6: Final answer
    x = 7,774.79

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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.