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Finding the Fourth Proportional to 10,920.36, 16,383.78 and 4,677.29

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Solution

The fourth proportional to 10,920.36, 16,383.78 and 4,677.29 is: 7,017.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.36 : 16,383.78 = 4,677.29 : x
  2. Step 2: Convert to fraction form
    10,920.36/16,383.78 = 4,677.29/x
  3. Step 3: Cross multiply
    10,920.36x = 16,383.78 × 4,677.29
  4. Step 4: Simplify right side
    10,920.36x = 76,631,608.44
  5. Step 5: Solve for x
    x = 76,631,608.44/10,920.36
  6. Step 6: Final answer
    x = 7,017.32

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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.