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Finding the Fourth Proportional to 8,443.14, 11,635.29 and 5,954.82

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Solution

The fourth proportional to 8,443.14, 11,635.29 and 5,954.82 is: 8,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.14 : 11,635.29 = 5,954.82 : x
  2. Step 2: Convert to fraction form
    8,443.14/11,635.29 = 5,954.82/x
  3. Step 3: Cross multiply
    8,443.14x = 11,635.29 × 5,954.82
  4. Step 4: Simplify right side
    8,443.14x = 69,286,057.60
  5. Step 5: Solve for x
    x = 69,286,057.60/8,443.14
  6. Step 6: Final answer
    x = 8,206.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.