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Finding the Fourth Proportional to 11,642.43, 16,066.84 and 6,337.54

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Solution

The fourth proportional to 11,642.43, 16,066.84 and 6,337.54 is: 8,745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.43 : 16,066.84 = 6,337.54 : x
  2. Step 2: Convert to fraction form
    11,642.43/16,066.84 = 6,337.54/x
  3. Step 3: Cross multiply
    11,642.43x = 16,066.84 × 6,337.54
  4. Step 4: Simplify right side
    11,642.43x = 101,824,241.17
  5. Step 5: Solve for x
    x = 101,824,241.17/11,642.43
  6. Step 6: Final answer
    x = 8,745.96

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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.