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Finding the Fourth Proportional to 11,642.72, 16,066.76 and 6,337.35

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Solution

The fourth proportional to 11,642.72, 16,066.76 and 6,337.35 is: 8,745.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.72 : 16,066.76 = 6,337.35 : x
  2. Step 2: Convert to fraction form
    11,642.72/16,066.76 = 6,337.35/x
  3. Step 3: Cross multiply
    11,642.72x = 16,066.76 × 6,337.35
  4. Step 4: Simplify right side
    11,642.72x = 101,820,649.80
  5. Step 5: Solve for x
    x = 101,820,649.80/11,642.72
  6. Step 6: Final answer
    x = 8,745.44

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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.