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Finding the Fourth Proportional to 11,753.64, 17,632.89 and 3,962.25

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Solution

The fourth proportional to 11,753.64, 17,632.89 and 3,962.25 is: 5,944.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.64 : 17,632.89 = 3,962.25 : x
  2. Step 2: Convert to fraction form
    11,753.64/17,632.89 = 3,962.25/x
  3. Step 3: Cross multiply
    11,753.64x = 17,632.89 × 3,962.25
  4. Step 4: Simplify right side
    11,753.64x = 69,865,918.40
  5. Step 5: Solve for x
    x = 69,865,918.40/11,753.64
  6. Step 6: Final answer
    x = 5,944.19

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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.