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Finding the Fourth Proportional to 11,754.96, 17,632.71 and 4,735.68

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Solution

The fourth proportional to 11,754.96, 17,632.71 and 4,735.68 is: 7,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.96 : 17,632.71 = 4,735.68 : x
  2. Step 2: Convert to fraction form
    11,754.96/17,632.71 = 4,735.68/x
  3. Step 3: Cross multiply
    11,754.96x = 17,632.71 × 4,735.68
  4. Step 4: Simplify right side
    11,754.96x = 83,502,872.09
  5. Step 5: Solve for x
    x = 83,502,872.09/11,754.96
  6. Step 6: Final answer
    x = 7,103.63

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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.