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Finding the Fourth Proportional to 11,755.68, 17,635.13 and 3,966.72

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Solution

The fourth proportional to 11,755.68, 17,635.13 and 3,966.72 is: 5,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.68 : 17,635.13 = 3,966.72 : x
  2. Step 2: Convert to fraction form
    11,755.68/17,635.13 = 3,966.72/x
  3. Step 3: Cross multiply
    11,755.68x = 17,635.13 × 3,966.72
  4. Step 4: Simplify right side
    11,755.68x = 69,953,622.87
  5. Step 5: Solve for x
    x = 69,953,622.87/11,755.68
  6. Step 6: Final answer
    x = 5,950.62

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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.