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Finding the Fourth Proportional to 10,830.30, 16,249.09 and 4,982.50

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Solution

The fourth proportional to 10,830.30, 16,249.09 and 4,982.50 is: 7,475.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.30 : 16,249.09 = 4,982.50 : x
  2. Step 2: Convert to fraction form
    10,830.30/16,249.09 = 4,982.50/x
  3. Step 3: Cross multiply
    10,830.30x = 16,249.09 × 4,982.50
  4. Step 4: Simplify right side
    10,830.30x = 80,961,090.93
  5. Step 5: Solve for x
    x = 80,961,090.93/10,830.30
  6. Step 6: Final answer
    x = 7,475.42

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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.