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Finding the Fourth Proportional to 11,754.74, 17,632.18 and 3,963.62

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Solution

The fourth proportional to 11,754.74, 17,632.18 and 3,963.62 is: 5,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.74 : 17,632.18 = 3,963.62 : x
  2. Step 2: Convert to fraction form
    11,754.74/17,632.18 = 3,963.62/x
  3. Step 3: Cross multiply
    11,754.74x = 17,632.18 × 3,963.62
  4. Step 4: Simplify right side
    11,754.74x = 69,887,261.29
  5. Step 5: Solve for x
    x = 69,887,261.29/11,754.74
  6. Step 6: Final answer
    x = 5,945.45

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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.