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Finding the Fourth Proportional to 11,164.61, 16,744.37 and 3,265.49

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Solution

The fourth proportional to 11,164.61, 16,744.37 and 3,265.49 is: 4,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.61 : 16,744.37 = 3,265.49 : x
  2. Step 2: Convert to fraction form
    11,164.61/16,744.37 = 3,265.49/x
  3. Step 3: Cross multiply
    11,164.61x = 16,744.37 × 3,265.49
  4. Step 4: Simplify right side
    11,164.61x = 54,678,489.07
  5. Step 5: Solve for x
    x = 54,678,489.07/11,164.61
  6. Step 6: Final answer
    x = 4,897.49

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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.