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Finding the Fourth Proportional to 10,924.80, 16,383.15 and 3,902.10

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Solution

The fourth proportional to 10,924.80, 16,383.15 and 3,902.10 is: 5,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,924.80 : 16,383.15 = 3,902.10 : x
  2. Step 2: Convert to fraction form
    10,924.80/16,383.15 = 3,902.10/x
  3. Step 3: Cross multiply
    10,924.80x = 16,383.15 × 3,902.10
  4. Step 4: Simplify right side
    10,924.80x = 63,928,689.62
  5. Step 5: Solve for x
    x = 63,928,689.62/10,924.80
  6. Step 6: Final answer
    x = 5,851.70

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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.