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Finding the Fourth Proportional to 10,838.57, 16,249.01 and 4,830.24

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Solution

The fourth proportional to 10,838.57, 16,249.01 and 4,830.24 is: 7,241.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.57 : 16,249.01 = 4,830.24 : x
  2. Step 2: Convert to fraction form
    10,838.57/16,249.01 = 4,830.24/x
  3. Step 3: Cross multiply
    10,838.57x = 16,249.01 × 4,830.24
  4. Step 4: Simplify right side
    10,838.57x = 78,486,609.14
  5. Step 5: Solve for x
    x = 78,486,609.14/10,838.57
  6. Step 6: Final answer
    x = 7,241.42

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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.