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Finding the Fourth Proportional to 11,754.18, 17,632.88 and 3,965.22

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Solution

The fourth proportional to 11,754.18, 17,632.88 and 3,965.22 is: 5,948.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.18 : 17,632.88 = 3,965.22 : x
  2. Step 2: Convert to fraction form
    11,754.18/17,632.88 = 3,965.22/x
  3. Step 3: Cross multiply
    11,754.18x = 17,632.88 × 3,965.22
  4. Step 4: Simplify right side
    11,754.18x = 69,918,248.43
  5. Step 5: Solve for x
    x = 69,918,248.43/11,754.18
  6. Step 6: Final answer
    x = 5,948.37

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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.