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Finding the Fourth Proportional to 10,832.78, 16,249.17 and 3,907.28

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Solution

The fourth proportional to 10,832.78, 16,249.17 and 3,907.28 is: 5,860.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.78 : 16,249.17 = 3,907.28 : x
  2. Step 2: Convert to fraction form
    10,832.78/16,249.17 = 3,907.28/x
  3. Step 3: Cross multiply
    10,832.78x = 16,249.17 × 3,907.28
  4. Step 4: Simplify right side
    10,832.78x = 63,490,056.96
  5. Step 5: Solve for x
    x = 63,490,056.96/10,832.78
  6. Step 6: Final answer
    x = 5,860.92

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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.