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Finding the Fourth Proportional to 10,778.93, 16,169.22 and 3,383.40

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Solution

The fourth proportional to 10,778.93, 16,169.22 and 3,383.40 is: 5,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.93 : 16,169.22 = 3,383.40 : x
  2. Step 2: Convert to fraction form
    10,778.93/16,169.22 = 3,383.40/x
  3. Step 3: Cross multiply
    10,778.93x = 16,169.22 × 3,383.40
  4. Step 4: Simplify right side
    10,778.93x = 54,706,938.95
  5. Step 5: Solve for x
    x = 54,706,938.95/10,778.93
  6. Step 6: Final answer
    x = 5,075.36

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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.