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Finding the Fourth Proportional to 10,777.85, 16,164.42 and 3,381.33

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Solution

The fourth proportional to 10,777.85, 16,164.42 and 3,381.33 is: 5,071.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.85 : 16,164.42 = 3,381.33 : x
  2. Step 2: Convert to fraction form
    10,777.85/16,164.42 = 3,381.33/x
  3. Step 3: Cross multiply
    10,777.85x = 16,164.42 × 3,381.33
  4. Step 4: Simplify right side
    10,777.85x = 54,657,238.28
  5. Step 5: Solve for x
    x = 54,657,238.28/10,777.85
  6. Step 6: Final answer
    x = 5,071.26

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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.