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Finding the Fourth Proportional to 11,765.43, 17,652.72 and 5,186.97

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Solution

The fourth proportional to 11,765.43, 17,652.72 and 5,186.97 is: 7,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.43 : 17,652.72 = 5,186.97 : x
  2. Step 2: Convert to fraction form
    11,765.43/17,652.72 = 5,186.97/x
  3. Step 3: Cross multiply
    11,765.43x = 17,652.72 × 5,186.97
  4. Step 4: Simplify right side
    11,765.43x = 91,564,129.06
  5. Step 5: Solve for x
    x = 91,564,129.06/11,765.43
  6. Step 6: Final answer
    x = 7,782.47

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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.