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Finding the Fourth Proportional to 11,642.34, 16,066.43 and 6,337.20

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Solution

The fourth proportional to 11,642.34, 16,066.43 and 6,337.20 is: 8,745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.34 : 16,066.43 = 6,337.20 : x
  2. Step 2: Convert to fraction form
    11,642.34/16,066.43 = 6,337.20/x
  3. Step 3: Cross multiply
    11,642.34x = 16,066.43 × 6,337.20
  4. Step 4: Simplify right side
    11,642.34x = 101,816,177.80
  5. Step 5: Solve for x
    x = 101,816,177.80/11,642.34
  6. Step 6: Final answer
    x = 8,745.33

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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.