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Finding the Fourth Proportional to 11,643.47, 16,082.41 and 8,451.66

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Solution

The fourth proportional to 11,643.47, 16,082.41 and 8,451.66 is: 11,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.47 : 16,082.41 = 8,451.66 : x
  2. Step 2: Convert to fraction form
    11,643.47/16,082.41 = 8,451.66/x
  3. Step 3: Cross multiply
    11,643.47x = 16,082.41 × 8,451.66
  4. Step 4: Simplify right side
    11,643.47x = 135,923,061.30
  5. Step 5: Solve for x
    x = 135,923,061.30/11,643.47
  6. Step 6: Final answer
    x = 11,673.76

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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.