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Finding the Fourth Proportional to 11,266.84, 16,883.82 and 6,337.86

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Solution

The fourth proportional to 11,266.84, 16,883.82 and 6,337.86 is: 9,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,266.84 : 16,883.82 = 6,337.86 : x
  2. Step 2: Convert to fraction form
    11,266.84/16,883.82 = 6,337.86/x
  3. Step 3: Cross multiply
    11,266.84x = 16,883.82 × 6,337.86
  4. Step 4: Simplify right side
    11,266.84x = 107,007,287.43
  5. Step 5: Solve for x
    x = 107,007,287.43/11,266.84
  6. Step 6: Final answer
    x = 9,497.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.